Algebra II : Negative Exponents

Example Questions

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Example Question #1 : Negative Exponents

Simplify the following expression

Explanation:

Example Question #1 : Understanding Exponents

Simplify the following expression

Explanation:

Example Question #1 : Understanding Exponents

Simplify the following expression

Explanation:

Example Question #1 : Understanding Exponents

Simplify the following expression

Explanation:

Example Question #1 : Negative Exponents

Simplify the following expression

Explanation:

Example Question #1 : Exponents

Solve for :

Explanation:

Raise both sides of the equation to the inverse power of  to cancel the exponent on the left hand side of the equation.

Subtract  from both sides:

Example Question #1 : Exponents

Represent the fraction using only positive exponents:

Explanation:

Negative exponents are the reciprocal of their positive counterpart. For example:

Therefore:

This simplifies to:

Example Question #1 : Negative Exponents

Solve the equation for n:

Explanation:

Rewrite the right-hand-side so that each side has the same base:

Use the Property of Equality for Exponential Functions:

Solving for :

Example Question #1 : Understanding Exponents

What is  the same as?

Explanation:

While a positive exponent says how many times to multiply by a number, a negative exponent says how many times to divide by the number.

To solve for negative exponents, just calculate the reciprocal.

Solve: