# SSAT Upper Level Math : How to find the properties of an exponent

## Example Questions

### Example Question #21 : How To Find The Properties Of An Exponent

Which of the values below is equal to ?

Explanation:

is equal to

Therefore,

Thus, 64 is the correct answer.

### Example Question #21 : Properties Of Exponents

Which of the values below is equal to ?

Explanation:

is equal to

Given that , the above expression can be simplified to:

Therefore, 32 is the correct answer.

### Example Question #73 : Ssat Upper Level Quantitative (Math)

Which of the following is equal to 27?

Explanation:

is equal to

Given that , it follows that

### Example Question #11 : Expressions & Equations

Evaluate:

Explanation:

The bases of all three terms are alike.  Since the terms are of a specific power, the rule of exponents state that the powers can be added if the terms are multiplied.

When we have a negative exponent, we we put the number and the exponent as the denominator, over

### Example Question #21 : How To Find The Properties Of An Exponent

Simplify:

Explanation:

To solve this problem, we start with the parentheses and exponents in the denominator.

Next, we can bring the  from the denominator up to the numerator by making the exponent negative.

Finally, to get rid of the negative exponent we can bring it back down to the denominator.

### Example Question #81 : Ssat Upper Level Quantitative (Math)

What is  written as a multiplication problem?

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is  and our exponential value is . So we multiply  by itself  times.

Remember, the question asks us for the multiplication problem, not the answer to . Because of this,  is our correct answer.

### Example Question #81 : Algebra

What is  written as a multiplication problem?

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is  and our exponential value is . So we multiply  by itself  times.

Remember, the question asks us for the multiplication problem, not the answer to . Because of this,  is our correct answer.

### Example Question #83 : Ssat Upper Level Quantitative (Math)

What is  written as a multiplication problem?

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is  and our exponential value is . So we multiply  by itself  times.

Remember, the question asks us for the multiplication problem, not the answer to . Because of this,  is our correct answer.

### Example Question #84 : Ssat Upper Level Quantitative (Math)

What is  written as a multiplication problem?

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is  and our exponential value is . So we multiply  by itself  times.

Remember, the question asks us for the multiplication problem, not the answer to . Because of this,  is our correct answer.

### Example Question #85 : Ssat Upper Level Quantitative (Math)

What is  written as a multiplication problem?