Question

Which law would you use to simplify the expression mc007-1.jpg?
power of a power
power of a quotient
quotient of powers
power of a product

Answer 1

I can't see mc007-1.jpg — could you upload it or paste the expression here?

Meanwhile, here are the four laws and when to use each, so you can match one to your expression:

- Power of a product: (ab)^n = a^n b^n — use when an entire product is raised to a power.
- Power of a quotient: (a/b)^n = a^n / b^n — use when a quotient (fraction) is raised to a power.
- Power of a power: (a^m)^n = a^{m·n} — use when a power is raised to another power.
- Quotient of powers: a^m / a^n = a^{m−n} (same base) — use when dividing like bases with exponents.

If you paste the expression I’ll tell you which law applies.