Powers (Multiplying, Dividing, Power to a Power)

Front

What is the result 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

How do you simplify the expression x^m * x^n?

Back

You simplify it by adding the exponents: x^(m+n).

Front

What is the product of x^a and x^b when a = 3 and b = 5?

Back

The product is x^(3+5) = x^8.

Front

What is the result of (x^m)^n?

Back

The result is x^(m*n), which means you multiply the exponents.

Front

How do you simplify the expression (x^3)^4?

Back

You simplify it to x^(3*4) = x^12.

Front

What is the result of multiplying two powers with the same base?

Back

You add the exponents of the powers.

Front

If a = 2 and b = 3, what is the value of (a^b)^2?

Back

The value is (2^3)^2 = 2^(3*2) = 2^6 = 64.

Front

What is the result of dividing x^m by x^n?

Back

You simplify it by subtracting the exponents: x^(m-n).

Front

How do you simplify the expression x^5 / x^2?

Back

You simplify it to x^(5-2) = x^3.

Front

What is the result of x^3 * x^0?

Back

The result is x^(3+0) = x^3.