Exponent Rules Review

Front

What is the product rule for exponents?

Back

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

Front

What is the quotient rule for exponents?

Back

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

Front

What happens to the exponent when raising a power to another power?

Back

Multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (x^3)(x^5)

Back

x^8.

Front

Simplify: (2y^4)(3y^2)

Back

6y^6.

Front

Simplify: (a^2b^3)(a^3b^2)

Back

a^5b^5.

Front

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

Back

10x^5.

Front

Simplify: (3a^4b)(4a^2b^3)

Back

12a^6b^4.

Front

What is the exponent of a number when it is raised to the power of zero?

Back

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

Front

What is the exponent of a number when it is raised to the power of one?

Back

Any number raised to the power of one is itself: a^1 = a.