Dividing Exponents

Front

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

Back

When dividing exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator: a^m / a^n = a^(m-n).

Front

What is the base in the expression 2^3?

Back

The base is 2.

Front

What is the result of 4^9 / 4^6?

Back

The result is 4^3.

Front

What is the value of z^10 when z is raised to the power of 10?

Back

The value is z^10.

Front

How do you simplify the expression 6^22?

Back

6^22 is already in its simplest form.

Front

What does the exponent represent in an expression like 2^3?

Back

The exponent represents the number of times the base is multiplied by itself.

Front

If a^5 / a^2 = a^x, what is the value of x?

Back

x = 3, because 5 - 2 = 3.

Front

What is the result of (x^4 / x^2) * (x^3 / x^1)?

Back

The result is x^(4-2+3-1) = x^4.

Front

What happens when you divide a number by itself raised to a power?

Back

When you divide a number by itself raised to a power, the result is 1, as long as the base is not zero.

Front

What is the simplified form of (3^5 / 3^2)?

Back

The simplified form is 3^(5-2) = 3^3.