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 the denominator: (a/b)^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.

Tags

CCSS.8.EE.A.1

Front

Simplify: (9^-2)^3

Back

1/9^6.

Tags

CCSS.8.EE.A.1

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6.

Tags

CCSS.HSA.APR.A.1

Front

What does it mean to simplify an expression with exponents?

Back

To rewrite the expression using the properties of exponents to make it easier to understand or calculate, often resulting in positive exponents.

Tags

CCSS.8.EE.A.1

Front

What is the significance of using only positive exponents in expressions?

Back

Using only positive exponents simplifies calculations and makes expressions easier to read and understand.

Tags

CCSS.8.EE.A.1