Properties of Exponents

Front

What is the product of powers property of exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a power property of exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a product property of exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the power of a quotient property of exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Tags

CCSS.8.EE.A.1

Front

Simplify: (12x^3y)^2

Back

144x^6y^2.

Front

Simplify: (3xy)^2

Back

9x^2y^2.

Front

Calculate: 3x^4 * 6x^6

Back

18x^10.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: (x^8)(x^−5)

Back

x^3.

Tags

CCSS.8.EE.A.1