Question

use the product rule of exponents to simplify the expression 2^4 x 2^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 2^4 x 2^2 using the product rule of exponents, you can add the exponents when multiplying two numbers with the same base.

2^4 x 2^2 = 2^(4+2) = 2^6

Therefore, the simplified expression is 2^6.

Answer 2

use the product rule of exponents to simplify the expression 3^8 x 3^3

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 3^8 x 3^3 using the product rule of exponents, you can add the exponents when multiplying two numbers with the same base.

3^8 x 3^3 = 3^(8+3) = 3^11

Therefore, the simplified expression is 3^11.

Answer 4

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

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the numerical equivalent of 7^2 x 7^3, you can simplify the expression using the product rule of exponents.

7^2 x 7^3 = 7^(2+3) = 7^5

So, the numerical equivalent of this expression is 7^5, which is equal to 16807.

Answer 6

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

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the numerical equivalent of 3^9 x 3^-5, you can apply the product rule of exponents and simplify the expression.

Using the product rule, you add the exponents when multiplying two numbers with the same base.

3^9 x 3^-5 = 3^(9 + (-5)) = 3^4

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