Question

Which rules of exponents will be used to evaluate the expression. Check all that apply.
Left-brace (7 Superscript 5 Baseline) (7 cubed) right-brace Superscript negative 4
quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent

Answer 1

Expression: (7^5 · 7^3)^(-4).

Rules used:
- Product of powers (7^5·7^3 = 7^(5+3) = 7^8)
- Power of a power ((7^8)^(-4) = 7^(8·-4) = 7^-32)
- Negative exponent (7^-32 = 1/7^32)

Not used: quotient of powers, power of a product, zero exponent.