Powers (Multiplying, Dividing, Power to a Power)

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents: X^m • X^n = X^(m+n).

Front

How do you simplify (-8)^2?

Back

(-8)^2 = 64.

Front

What is the simplified form of x^20 * y^8?

Back

The expression is already simplified as x^20 y^8.

Front

What is the result of n^9 • n^7 • n^3?

Back

n^9 • n^7 • n^3 = n^(9+7+3) = n^19.

Front

How do you simplify the expression 30y^{12} / 15y^2?

Back

30y^{12} / 15y^2 = 2y^{12-2} = 2y^{10}.

Front

What is the power of a power rule?

Back

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

Front

What is the quotient of two powers with the same base?

Back

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

Front

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.

Front

How do you express 5^0?

Back

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

Front

What is the simplified form of (x^3)^4?

Back

Using the power of a power rule, (x^3)^4 = x^(3*4) = x^12.