### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #21 : Exponents

What is the value of this equation?

**Possible Answers:**

**Correct answer:**

When an exponent is raised to another exponent, the exponents should be multiplied toghether. This will result in:

### Example Question #11 : How To Multiply Exponents

Which expression is equal to ?

**Possible Answers:**

**Correct answer:**

When exponent of a value is raised to another exponent, the values of the exponents are multiplied by each other.

2 is multiplied by 3, and so the exponent of x is 6.

### Example Question #21 : Exponents

What is the value of ?

**Possible Answers:**

**Correct answer:**

When one exponent is raised to another exponent, the values of the exponents should be multiplied together. Thus,

can be simplified to , given that .

### Example Question #72 : Numbers And Operations

What is the expression below equal to?

**Possible Answers:**

**Correct answer:**

When exponents are multiplied by each other, the powers should be added together. Meanwhile, numbers not raised to an exponent are simply multiplied by each other.

Therefore, the answer is , because , and .

### Example Question #23 : Exponents

What is the value of ?

**Possible Answers:**

**Correct answer:**

1 raised to any exponent will always be 1.

-1 will be equal to 1 when the exponent is even and will be equal to -1 when the exponent is odd.

Given that 323 is odd, is equal to -1.

### Example Question #21 : Exponents

Simplify the following:

**Possible Answers:**

**Correct answer:**

Simplify the following:

Let's begin by recalling two rules

1) When multiplying variables with a common base, add the exponents.

2) When multiplying variables with a common base, multiply the coefficients.

So, our answer is