Simplifying Exponents in Division

Front

What is the rule for simplifying exponents when raising a power to a power?

Back

Multiply the exponents. For example, @@ (r^5)^8 = r^{5*8} = r^{40}@@.

Front

What is the rule for simplifying exponents when multiplying two powers with the same base?

Back

Add the exponents. For example, @@ p^{27} imes p^{12} = p^{27+12} = p^{39}@@.

Front

What is the rule for simplifying exponents when dividing two powers with the same base?

Back

Subtract the exponents. For example, @@ \frac{d^{13}}{d^2} = d^{13-2} = d^{11}@@.

Front

What is the result of @@ \frac{e^{12}}{e^8}@@?

Back

Front

What is the result of @@ \left(y^{12}\right)^3@@?

Back

Front

What is the result of @@ \left(r^5\right)^8@@?

Back

Front

Back

Front

Back

Front

Back

Front

What happens to the exponent when you raise a product to a power?

Back

Distribute the exponent to each factor. For example, @@ (ab)^n = a^n b^n@@.