Question

Which rules of exponents will be used to evaluate this expression? Select three options.

StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
fractional exponent
quotient of powers
power of a power
power of a product
negative exponent
zero exponent

Answer 1

- Power of a power (use (a^m)^n = a^(m·n) to get (−8)^(4·(−5)) = (−8)^(−20))
- Quotient of powers (use a^m / a^n = a^(m−n) to get (−8)^(−20)/ (−8)^6 = (−8)^(−20−6) )
- Negative exponent (use a^(−n) = 1/a^n to rewrite the final result if a positive exponent is desired)