Simplifying Exponents

Front

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

Back

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

Front

How do you calculate the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

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.

Front

What is the simplified form of x^a * x^b?

Back

The simplified form is x^(a+b).

Front

What is the simplified form of x^a / x^b?

Back

The simplified form is x^(a-b).

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

What is the simplified form of x^{-2} / x^{-10}?

Back

The simplified form is x^{8}.

Front

How do you simplify the expression -1 / (3x^5y^7)?

Back

The expression is already in its simplest form.

Front

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

Back

The product of two powers with the same base is found by adding the exponents.

Front

What is the simplified form of (x^3y^2)(x^2y^3)?

Back

The simplified form is x^(3+2)y^(2+3) = x^5y^5.