Exponent Rules

Front

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

Back

Add the exponents: a^m * a^n = a^(m+n)

Front

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

Back

Subtract the exponents: a^m / a^n = a^(m-n)

Front

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

Back

Multiply the exponents: (a^m)^n = a^(m*n)

Front

What is the value of any non-zero number raised to the power of 0?

Back

1 (a^0 = 1 for a ≠ 0)

Front

What is the value of 0 raised to any positive power?

Back

0 (0^n = 0 for n > 0)

Front

What is the value of 0 raised to the power of 0?

Back

Undefined (0^0 is indeterminate)

Front

Simplify: (2x^3)(3x^2)

Back

6x^5

Front

Simplify: (x^5)/(x^2)

Back

x^3

Front

Simplify: (4y^2)^3

Back

64y^6

Front

Simplify: (x^2y^3)(x^3y^2)

Back

x^5y^5