Exponent Rules

Front

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

Back

When multiplying powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

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

Back

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

Front

What is the value of (3x^2y^3)^2?

Back

9x^4y^6.

Front

What is the value of (2a^3b^2)(4a^2b^5)?

Back

8a^5b^7.

Front

What is the value of (x^4)^3?

Back

x^(4*3) = x^12.

Front

What is the value of (5x^2y^2)^3?

Back

125x^6y^6.

Front

What happens when you raise a power to a power?

Back

You multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the value of (x^3y^2)/(xy)?

Back

x^(3-1)y^(2-1) = x^2y.

Front

What is the value of (2^3)(2^2)?

Back

2^(3+2) = 2^5 = 32.

Front

What is the value of (x^5)/(x^2)?

Back

x^(5-2) = x^3.