Exponent rule test con nexus 8th grade

Sure! Here are a few questions to test your knowledge of exponent rules:

1) Simplify the following expression: (2^3)^2
a) 8
b) 64
c) 12
d) 16

2) Simplify the following expression: 3^4 ÷ 3^2
a) 9
b) 81
c) 3
d) 27

3) Simplify the following expression: (5^2)^3 × 5^4
a) 625
b) 3125
c) 125
d) 250

4) Simplify the following expression: 4^3 × 4^5 ÷ 4^2
a) 64
b) 256
c) 1024
d) 16

5) Simplify the following expression: (7^3 × 7^4) ÷ (7^2 × 7^2)
a) 49
b) 343
c) 2401
d) 16807

Remember to apply the exponent rules:
- Product of powers rule: (a^m)(a^n) = a^(m + n)
- Quotient of powers rule: a^m ÷ a^n = a^(m - n)
- Power of a power rule: (a^m)^n = a^(m * n)

Good luck!