Laws of Exponents

Front

What is the Quotient Rule of Exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

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

Back

5^7

Front

What is the result of multiplying 10^1 and 10^-2?

Back

10^(1-2) = 10^-1 = 1/10.

Front

Simplify b^2 ⋅ b^4.

Back

b^(2+4) = b^6.

Front

What happens when you raise a power to a power?

Back

You multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m ⋅ a^n = a^(m+n).

Front

What is the value of 9^0?

Back

Any non-zero number raised to the power of 0 is 1: 9^0 = 1.

Front

How do you express 2^3 ⋅ 2^2 using exponents?

Back

2^(3+2) = 2^5.

Front

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

Back

x^(3*2) = x^6.

Front

What is the Negative Exponent Rule?

Back

a^-n = 1/a^n.