EXPONENT RULES

Front

What is the Quotient Rule for Exponents?

Back

When dividing two exponential expressions with the same base, subtract the exponents.

Front

What is the result of (7^3)^4?

Back

7^{12} (Multiply the exponents: 3 * 4 = 12).

Front

How do you simplify (1/4^3)^5?

Back

1/4^{15} (Distribute the exponent: 3 * 5 = 15).

Front

What is the product of 5^3 and 5^4?

Back

5^7 (Add the exponents: 3 + 4 = 7).

Front

How do you simplify 5^3 / 5^2?

Back

5 (Subtract the exponents: 3 - 2 = 1, which is 5^1).

Front

What is the Power Rule for Exponents?

Back

When raising a power to another power, multiply the exponents.

Front

What is the Product Rule for Exponents?

Back

When multiplying two exponential expressions with the same base, add the exponents.

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.

Front

How do you express 4^{-2} in positive exponent form?

Back

1/4^2 (Reciprocal of the base raised to the positive exponent).