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, meaning 2 is multiplied by itself 3 times (2 × 2 × 2 = 8).

Tags

CCSS.6.EE.A.1

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, n^a • n^b = n^(a+b).

Tags

CCSS.8.EE.A.1

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Tags

CCSS.8.EE.A.1

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

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, a^0 = 1 (where a ≠ 0).

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, a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

Calculate: n^9 • n^7 • n^3

Back

n^(9+7+3) = n^19.

Tags

CCSS.8.EE.A.1

Front

Calculate: (5^2)^3

Back

5^(2*3) = 5^6.

Tags

CCSS.8.EE.A.1

Front

Calculate: x^12 / x^6

Back

x^(12-6) = x^6.

Tags

CCSS.8.EE.A.1

Front

Calculate: (r^4)^6

Back

r^(4*6) = r^24.

Tags

CCSS.8.EE.A.1