Rules of 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).

Front

Simplify: (c^5)(c^2)(c^2)

Back

c^9

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).

Front

Simplify: (x^4)(x^12)

Back

x^16

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).

Front

Simplify: (5^3)^7

Back

5^21

Front

What does it mean when two expressions with the same base are equal?

Back

If a^m = a^n, then m = n (provided a ≠ 0).

Front

If (2^x)^5 = 2^15, what does x equal?

Back

x = 3

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).

Front

Simplify: (3x^3y) * (2x^8y^5)

Back

6x^11y^6