Question

using product rule of exponents what is equivalent form of 5^1 x 5^4

Answer 1

To simplify the expression \( 5^1 \times 5^4 \) using the product rule of exponents, we can apply the rule which states that when multiplying two powers with the same base, we add the exponents together.

So, we have:

\[
5^1 \times 5^4 = 5^{1 + 4} = 5^5
\]

Thus, the equivalent form of \( 5^1 \times 5^4 \) is \( 5^5 \).