When evaluating (3.25 times 10 Superscript 5 Baseline) (1.82 times 10 Superscript 3 Baseline), what will be the exponent of 10 in the product? 3 5 8 15

Question

asked May 17, 2021 122k views

2 Answers

Derek Beattie · Answer 1 · 2021-05-24T09:31:33+0000

Answer:

The exponent of 10 in the product is 8.

Explanation:

The expression is as follows:

$(3.25* 10^(5))\cdot (1.82* 10^(3))$

Exponent rule:

a^(m)* a^(n)=a^(m+n)

Simplify the expression as follows:

$(3.25* 10^(5))\cdot (1.82* 10^(3))=3.25* 10^(5)* 1.82* 10^(3)$

$=(3.25* 1.82)* (10^(5)* 10^(3))\\\\=5.915* 10^(5+3)\\\\=5.915* 10^(8)$

Thus, the exponent of 10 in the product is 8.