Power of a Power, Product, & Quotient Rule of Exponents

Front

What is the Power of a Power Rule in exponents?

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify the expression: (2x^3y)^6

Back

64x^18y^6.

Front

What is the Product Rule of Exponents?

Back

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

Front

Simplify the expression: (b^3)^8

Back

b^24.

Front

What is the Quotient Rule of Exponents?

Back

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

Front

Simplify the expression: (3x^3y^5)^4

Back

81x^12y^20.

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n.

Front

Simplify the expression: (2x)^3

Back

(2x)(2x)(2x).

Front

What is the Negative Exponent Rule?

Back

The law of exponent where the powered number switches from denominator to numerator while the sign of the exponent changes from negative to positive.

Front

What is the value of (x^2y^3)(x^4y^2)?

Back

x^(2+4)y^(3+2) = x^6y^5.