7.1 Multiplication 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

Simplify: (2x^3)(3x^4)

Back

6x^7.

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

Simplify: (x^2)^3

Back

x^6.

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

Simplify: (xy)^3

Back

x^3y^3.

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

Simplify: 5^0

Back

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: 2^(-3)

Back

1/8.

Tags

CCSS.8.EE.A.1