Question

Simplify 2⁴×2² using the product rules of exponents

Answer 1

Simplify 3⁸×3³ using the product rules of exponents

Answer 2

Simplify 7⁵×7² using the product rules of exponents

Answer 3

Find the numerical equivalent of 7²×7³

Answer 4

Find the numeral equivalent of 3^9×3^-5

Answer 5

When multiplying two numbers with the same base, we add their exponents. Therefore, 2⁴ × 2² can be simplified as follows:

2⁴ × 2² = 2^(4+2) = 2⁶

Answer 6

Using the product rule of exponents, we can simplify 3⁸ × 3³ by adding their exponents:

3⁸ × 3³ = 3^(8+3) = 3^11

Answer 7

Using the product rule of exponents, we can simplify 7⁵ × 7² by adding their exponents:

7⁵ × 7² = 7^(5+2) = 7^7

Answer 8

To find the numerical equivalent of 7²×7³, we can simply calculate the product of 7² and 7³:

7² × 7³ = (7×7) × (7×7×7) = 49 × 343 = 16807

Therefore, the numerical equivalent of 7²×7³ is 16807.

Answer 9

To find the numerical equivalent of 3^9 × 3^(-5), we can apply the product rule of exponents, which states that when multiplying two powers with the same base, we add their exponents.

Therefore, 3^9 × 3^(-5) simplifies to 3^(9 - 5).

Subtracting the exponents, we have 3^4.

The numeral equivalent of 3^4 is 81.

Thus, 3^9 × 3^(-5) is numerically equal to 81.