Question

Which expression is equivalent (15^3)(15^-7)

Answer 1

The expression (15^3)(15^-7) is equivalent to 15^(-4).

Explanation:

We can apply the power of a product rule which states that when multiplying two numbers with the same base, we can add their exponents.

Using this rule, we can rewrite the expression as a single power of 15;

(15^3)(15^-7) = 15^(3 + -7)

Simplifying the exponent:

15^(3 + -7) = 15^(-4)

=15^(-4).