High School Math : How to do exponents in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #32 : High School Math

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Correct answer:

Explanation:

 When you multiply exponents you can simply add the exponents:

Example Question #2 : How To Do Exponents In Pre Algebra

Evaluate the exponential expression.

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Correct answer:

Explanation:

We can solve this problem in two different ways.

The first way is to evaluate the internal term, , and then square it.

The second method is to use the power rule of exponents, where we multiply the exponents and solve the resulting term.

Example Question #3 : How To Do Exponents In Pre Algebra

Evaluate .

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Explanation:

The negative sign in the exponent indicates that in order to solve you should use the reciprocal of the integer.

Example Question #4 : How To Do Exponents In Pre Algebra

Evaluate 

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Explanation:

The laws of exponents state that when a number is raised to a certain power and then raised to another power then the exponents are multiplied by one another.

Solve for the exponents.

Therefore,

Example Question #5 : How To Do Exponents In Pre Algebra

What is 

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Correct answer:

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case  is raised to the  power so it is equivalent to 

We then perform the necessary multiplication to arrive at the answer of .

Example Question #41 : High School Math

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Correct answer:

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case  is raised to the  power so it is equivalent to 

We then perform the necessary multiplication to arrive at the answer of .

Example Question #41 : High School Math

Convert to standard notation.

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Explanation:

Because the exponent is negative, we have to move the decimal four places to the left. We need to add three zeroes between the decimal the number three.

Example Question #8 : How To Do Exponents In Pre Algebra

Simplify the fractional expression.

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Correct answer:

Explanation:

Simplifying exponents with a common base can be done by subtracting the exponent in the denominator from the exponent in the numerator.

This gives us the final answer, .

Example Question #9 : How To Do Exponents In Pre Algebra

Evaluate the term.

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Explanation:

A negative exponent can be written as a positive exponent in the denominator of a fraction.

Now we can evaluate the exponent and simplify.

Example Question #10 : How To Do Exponents In Pre Algebra

What is ?

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Correct answer:

Explanation:

When you see an exponent, remember it just means the number times itself that many times. That means that  is just another way to write .

From here, we can solve it all together in a calculator, or do it in pieces on our own.

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