Exponent Rules

Front

What is the rule for multiplying powers with the same base?

Back

When we multiply two powers with the same base, we add the exponents. Example: c^6 ⋅ c^4 = c^(6+4) = c^{10}

Front

What is the rule for raising a power to another power?

Back

When we raise a power to another power, we multiply the exponents. Example: (d^2)^5 = d^(2*5) = d^{10}

Front

What is the rule for dividing powers with the same base?

Back

When we divide two powers with the same base, we subtract the exponents. Example: h^3 / h^2 = h^(3-2) = h^1 = h.

Front

Simplify: (y³)⁵

Back

y^{15}

Front

Simplify: (1^2)^7

Back

1^{14}

Front

What happens to the exponent when raising zero to any power?

Back

Zero raised to any positive power is zero. Example: 0^5 = 0.

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1. Example: 5^0 = 1.

Front

What is the rule for multiplying powers with different bases but the same exponent?

Back

When multiplying powers with different bases but the same exponent, we multiply the bases and keep the exponent. Example: a^3 ⋅ b^3 = (a ⋅ b)^3.

Front

What is the rule for dividing powers with different bases but the same exponent?

Back

When dividing powers with different bases but the same exponent, we divide the bases and keep the exponent. Example: a^5 / b^5 = (a / b)^5.

Front

Back