Rules of Exponents

Front

What is the product of powers rule in exponents?

Back

When multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Tags

CCSS.8.EE.A.1

Front

What is the power of a product rule in exponents?

Back

When raising a product to a power, you distribute 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 rule in exponents?

Back

When raising a quotient to a power, you distribute the exponent to the numerator and denominator: (a/b)^n = a^n / b^n.

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

Tags

CCSS.8.EE.A.1

Front

How do you simplify the expression (c^5)(c^2)(c^2)?

Back

You add the exponents: c^(5+2+2) = c^9.

Tags

CCSS.8.EE.A.1

Front

What is the value of 6^0?

Back

6^0 = 1.

Tags

CCSS.8.EE.A.1

Front

How do you simplify the expression 8^2 / 8^5?

Back

You subtract the exponents: 8^(2-5) = 8^(-3) = 1/8^3.

Tags

CCSS.8.EE.A.1

Front

What is the result of multiplying (2m^4)(5m^2)?

Back

You multiply the coefficients and add the exponents: 2*5 * m^(4+2) = 10m^6.

Tags

CCSS.HSA.APR.A.1