Exponent Rules

Front

What is the zero exponent rule?

Back

According to the zero exponent rule, anything (other than zero) raised to the power of zero is always 1.

Front

Simplify: (5^3 x^2 y^4)^0

Back

1

Front

Find the missing exponent: 5y^2 . (2y^3)^x = 80y^14. What is x?

Back

x = 4

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

According to the power rule, when we raise the power to a power we _______ the exponents. Example: (d^2)^5

Back

multiply

Front

What is the product of powers rule?

Back

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

Front

What is the quotient of powers rule?

Back

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

Front

What is the power of a product rule?

Back

When raising a product to a power, raise each factor to the power. Example: (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

When raising a quotient to a power, raise both the numerator and the denominator to the power. Example: (a/b)^n = a^n / b^n.

Front

Simplify: (3x^2)^4

Back

81x^8