Question

16 32^0 is equivalent to _. a 1 b 32 c 16 d 32 e 0
17 simplify: 5^(-3)·5^5 a 5^(-15) b 5^2 c 5^8 d 25^2
18 what is the meaning of (4x)^3? a 3·3·3·x·x·x b 4·4·4·x·x·x c 4·3·x·x·x d 4·3· e 4·x·x·x
19 which equation models (a^m)(a^n)=a^(m + n)? a (3^5)(5^3)=15^5 b (3^5)(5^3)=9^15 c (5^2)(5^3)=5^5 d (3^5)(5^3)=5^15

Explanation:

Step1: For 16

32⁰ = 1 (Any non - zero number to the power of 0 is 1).

Step2: For 17

Use the rule aᵐ·aⁿ=aᵐ⁺ⁿ. So 5⁻³·5⁵ = 5⁻³⁺⁵=5².

Step3: For 18

(4x)⁴ means 4·4·4·4·x·x·x·x, and among the options 3·3·3·3·x·x·x·x is in the same form of a number to a power times a variable to a power.

Step4: For 19

The rule aᵐ·aⁿ=aᵐ⁺ⁿ. (5²)(5²) = 5²⁺²=5⁴.

Answer:

1. A. 1
2. B. 5²
3. A. 3·3·3·3·x·x·x·x
4. C. (5²)(5²)=5⁴