Question

What is equivalent to 3 ⁵⁻ × 3²
O 3⁷
O 3³
O 3¹0
O 3⁻³

Answer 1

The equivalent expression for 3⁵× 3² ÷ 3⁷ ÷ 3³ × 3¹⁰× 3⁻³ is 3⁴, which equals 81, according to the rules of exponents for multiplication and division with the same base.

Step-by-step explanation:

The question provided is based on the rules of exponents, specifically the multiplication of exponential terms with the same base. When multiplying exponential terms with the same base, we simply add the exponents. In the expression 35 × 32 ÷ 37 ÷ 33 × 310 × 3-3, we can apply the rule that xa × xb = xa+b and xa ÷ xb = xa-b to combine the terms.

The calculation would proceed as follows: 35+2-7-3+10-3, which simplifies to 34, as the exponents add up to 4. So the equivalent expression is 34, which equals 81.