Laws of Exponents

Front

What is the Quotient Rule of Exponents?

Back

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

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Front

How do you simplify (x^m)^n?

Back

Use the Power Rule: (x^m)^n = x^(m*n).

Front

What is the Power Rule of Exponents?

Back

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

Front

How do you simplify the expression x^3 * x^4?

Back

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

Front

What is the result of (2^3) * (2^2)?

Back

Using the Product Rule: (2^3) * (2^2) = 2^(3+2) = 2^5.

Front

How do you convert 9^(-3) to a positive exponent?

Back

9^(-3) = 1/9^3.

Front

What is the simplified form of (x^2y)^5?

Back

Using the Power Rule: (x^2y)^5 = x^(2*5)y^5 = x^10y^5.

Front

What is the value of 5^0?

Back

5^0 = 1.