High School Math : Understanding Exponents

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 :Exponents

Which of the following is equivalent to?

Possible Answers:

Correct answer:

Explanation:

By definition,

.

In our problem,and.

Then, we have.

Example Question #1 :Exponents

Solve for:

Possible Answers:

Correct answer:

Explanation:

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

Subtractfrom both sides:

Example Question #1 :Fractional Exponents

指数转换为radical notation.

Possible Answers:

Correct answer:

Explanation:

Remember that exponents in the denominator refer to the root of the term, while exponents in the numerator can be treated normally.

Example Question #1 :Exponents

Which of the following is equivalent to?

Possible Answers:

Correct answer:

Explanation:

By definition, a number raised to thepower is the same as the square root of that number.

Since the square root of 64 is 8, 8 is our solution.

Example Question #1 :Fractional Exponents

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

Remember that fraction exponents are the same as radicals.

A shortcut would be to express the terms as exponents and look for opportunities to cancel.

Either method, we then need to multiply to two terms.

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