Question

Which law would you use to simplify the expression mc005-1.jpg?
product of powers
power of a product
power of a quotient
power of a power

Answer 1

I can’t see the image file — could you paste the expression here or re-upload the image?

Meanwhile, quick guide to pick the right law:

- Product of powers: a^m · a^n = a^(m+n). Use when you are multiplying two powers with the same base.
Example: x^2 · x^5 → product of powers.

- Power of a product: (ab)^n = a^n b^n. Use when a product (or several factors) is all raised to a single power.
Example: (2x)^3 → power of a product.

- Power of a quotient: (a/b)^n = a^n / b^n. Use when a quotient is raised to a power.
Example: (x/3)^4 → power of a quotient.

- Power of a power: (a^m)^n = a^(m·n). Use when a power is raised to another power.
Example: (x^2)^3 → power of a power.

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