In exponents which number is the base

After y is cubed, then you multiply by 7. The variable y , not 7, is being raised to the third power. In question 6, on the other hand, the entire phrase in the parenthesis is written as the base and everything in the superscript position is written as the exponent superscript text can be regarded as being in parenthesis in mathematical equations such as these. Actively scan device characteristics for identification.

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Updated August 27, Everyday Usage and Application of Exponents Although you don't often run across the need to multiply a number by itself a certain amount of times, there are many everyday exponents, especially in units of measurement like square and cubic feet and inches, which technically mean "one foot multiplied by one foot. Exponents in Finances, Marketing, and Sales Exponents are especially important in calculating compound interest because the amount of money that is earned and compounded depends on the exponent of time.

Divide your class into groups of three or four. Depending on the number of groups you have, make several different sets of cards.

Start each set with a card that has a problem on it. Write the answer to the problem on the next card, and put another problem on the back. Keep going until you have three or four sets of problems or more. Starting with the first card, each group must solve the problem and find the correct answer somewhere else in the classroom.

When they find the correct answer card, they can flip it over and solve the next problem. Give students scrap paper for solving, and let them start hunting for their answers. Whichever team finishes first is the winner! Every student loves a classic game of Jeopardy. Using a customizable template , replace the trivia with questions that give students a chance to practice multiplying exponents, and divide the class into two teams.

Worksheets are a tried-and-true method for developing math fluency in a particular set of skills. They can also be an indicator of student understanding when used as part of a formative assessment strategy. Here are some of our favorites:. For something more unique, try this multiplying polynomials activity.

Cut out the accompanying strips and mix them up. Have students match answers to the correct section on their worksheet after solving the equation and showing their work. As always, take it slow and make sure students understand the basics before things get more complicated. Contents A quick review of exponent rules 4 steps for teaching your students how to multiply exponents Fun multiplying exponents activities for students.

What do earthquakes, the stock market, computer science and nuclear physics all have in common? They all involve multiplying exponents. There are seven exponent rules: Product of powers rule : Add powers together when multiplying like bases Quotient of powers rule : Subtract powers when dividing like bases Power of powers rule : Multiply powers together when raising a power by another exponent Power of a product rul e: Distribute power to each base when raising several variables by a power Power of a quotient rule : Distribute power to all values in a quotient Zero power rule : Any base raised to the power of zero becomes one Negative exponent rule : To change a negative exponent to a positive one, flip it into a reciprocal Got it?

The bases of the equation stay the same, and the values of the exponents get added together. Since 5 is being multiplied, it is written as the base. Since the base is used 4 times in the multiplication, the exponent is 4. To write repeated multiplication of the same number in exponential notation, first write the number being multiplied as the base. Then count how many times that number is used in the multiplication, and write that number as the exponent.

Be sure to count the numbers, not the multiplication signs, to determine the exponent. Since 7 is used 3 times, 3 is the exponent. The base is the number being multiplied, 7. The exponent tells the number of times the base is multiplied. A 1,, The correct answer is 10 6. This answer is way less than the correct value and is not in exponential notation. The correct answer is 10 6 because the six 10s are multiplied together. Count the number of times 10 is used in the multiplication, which is 6, not the number of multiplication symbols, 5, to find the exponent.

The base is 10 since that is the number that is being multiplied by itself. The exponent is 6 since there are six 10s in the multiplication. Understanding and Computing Square Roots. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square. A perfect square number can be represented as a square shape, as shown below.

We see that 1, 4, 9, 16, 25, and 36 are examples of perfect squares. To square a number, multiply the number by itself. Below are some more examples of perfect squares. The inverse operation of squaring a number is called finding the square root of a number. Square roots are written with the mathematical symbol, called a radical sign , that looks like this:. Think, what number times itself gives 81?