Laws of exponents

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

What is the result of simplifying (-4r^5)(2r^8)?

Back

-8r^{13}

Front

How do you express 5⋅5⋅5⋅5⋅5⋅5⋅5 using exponents?

Back

5^7

Front

What is the product of 4x^5 and 6x^{10}?

Back

24x^{15}

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents.

Front

What is the result of simplifying (x^3)^4?

Back

x^{12}

Front

What is the result of simplifying (2^3)^2?

Back

2^6 or 64

Front

What is the rule for raising a product to a power?

Back

Raise each factor to the power.

Front

What is the result of simplifying x^0?

Back

1, for any x ≠ 0.