Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question simplify to a single power of 5: 5 × 5² answer attempt 1 out o…

Question

question
simplify to a single power of 5:
5 × 5²
answer attempt 1 out of 2
answer: 5^□
submit answer

Explanation:

Step1: Rewrite 5 as a power of 5

$5 = 5^1$

Step2: Apply exponent product rule

When multiplying like bases, add exponents: $a^m \times a^n = a^{m+n}$
$5^1 \times 5^2 = 5^{1+2}$

Step3: Calculate the sum of exponents

$1+2=3$, so $5^{1+2}=5^3$

Answer:

$5^3$