Simplifying Exponents

Front

What is the product of powers rule in 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 rule in 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 zero exponent rule?

Back

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

Tags

CCSS.8.EE.A.1

Front

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

Back

1024y^15.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13.

Front

Simplify: (x^14)^3

Back

x^42.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: x^5 * x^7

Back

x^12.

Front

What is the quotient of powers rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Tags

CCSS.8.EE.A.1

Front

Simplify: (5^3x^2y^4)^0

Back

1.