Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent.

Tags

CCSS.6.EE.A.1

Front

What is the product rule for exponents?

Back

The product rule states that when multiplying two powers with the same base, you add the exponents. For example, x^a * x^b = x^(a+b).

Tags

CCSS.8.EE.A.1

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two powers with the same base, you subtract the exponents. For example, x^a / x^b = x^(a-b).

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule?

Back

The power of a power rule states that when raising a power to another power, you multiply the exponents. For example, (x^a)^b = x^(a*b).

Tags

CCSS.8.EE.A.1

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, 4^0 = 1.

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

How do you express 10^3 in expanded form?

Back

10^3 can be expressed as 10 x 10 x 10.

Tags

CCSS.6.EE.A.1

Front

Simplify the expression x^5 * x^7.

Back

Using the product rule, x^5 * x^7 = x^(5+7) = x^12.

Tags

CCSS.8.EE.A.1

Front

Simplify the expression xy^-7.

Back

Using the negative exponent rule, xy^-7 = x/y^7.

Tags

CCSS.8.EE.A.1

Front

Evaluate 4^0.

Back

4^0 = 1.

Tags

CCSS.8.EE.A.1