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 zero exponent property?

Back

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

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent property?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n) (where a ≠ 0).

Tags

CCSS.8.EE.A.1

Front

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

Back

6x^5.

Front

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

Back

10y^7.

Front

Simplify: (4a^2)^3

Back

64a^6.

Front

Simplify: (x^5)(x^3)

Back

x^8.

Front

Simplify: (3m^2)(4m^5)

Back

12m^7.