Question

Use the product rule of exponents to simplify the expression 2^4 • 2^2

Answer 1

Use the product rule of exponents to simplify the expression 3^8 • 3^3

Answer 2

Use the product rule of exponents to simplify the expression 7^5 • 7^2

Answer 3

Find the numerical equivalent of 7^2 • 7^3

Answer 4

Find the numerical equivalent of 3^9 • 3^-5

Answer 5

To simplify the expression 2^4 • 2^2 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 2^4 • 2^2 = 2^(4+2)
= 2^6

Therefore, the expression is simplified to 2^6.

Answer 6

To simplify the expression 3^8 • 3^3 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 3^8 • 3^3 = 3^(8+3)
= 3^11

Therefore, the expression is simplified to 3^11.

Answer 7

To simplify the expression 7^5 • 7^2 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 7^5 • 7^2 = 7^(5+2)
= 7^7

Therefore, the expression is simplified to 7^7.

Answer 8

To find the numerical equivalent of 7^2 • 7^3, we use the product rule of exponents and add the exponents when multiplying like bases.

7^2 • 7^3 = 7^(2+3)
= 7^5

Therefore, the numerical equivalent of 7^2 • 7^3 is 7^5, which is equal to 16,807.

Answer 9

To find the numerical equivalent of 3^9 • 3^-5, we use the product rule of exponents and add the exponents when multiplying like bases.

3^9 • 3^-5 = 3^(9 + -5)
= 3^4

Therefore, the numerical equivalent of 3^9 • 3^-5 is 3^4, which is equal to 81.