All Exponents Rules Review

Front

Simplify the expression: (5^5)(5^-3)

Back

5^2

Front

Simplify: (2^x)(4^y)(-3x^2y^7)

Back

-6x^6y^12

Front

Anything raised to the zero power equals

Back

1

Front

Simplify: 6x^2 ⋅ 2y^4 ⋅ x

Back

12x^3y^4

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

What is the product of powers rule?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the power of a product rule?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the negative exponent rule?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the zero power equals 1: a^0 = 1.