# GED Math : Exponents

## Example Questions

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### Example Question #1 : Exponents

Solve:      Explanation: ### Example Question #2 : Exponents

Write the following expression in expanded form:      Explanation:

An exponent indicates the amount of times a number (or variable) should be multiplied by itself. For example, .

In this instance, .

### Example Question #471 : Ged Math

Simplify:      Explanation:        ### Example Question #472 : Ged Math

Express 45,000,000 in scientific notation.     Explanation:

Write the number with a decimal point and without commas: Counting the number of places, move the decimal point to the left until it is after the first nonzero digit: The resulting  number is 4.5; the number of places the decimal point moved to the left was 7. In scientific notation, this number is .

### Example Question #473 : Ged Math

Express 0.000000038 in scientific notation.     Explanation:

Write the number: Counting the number of places, move the decimal point to the right until it is after the first nonzero digit: The resulting  number is 3.8; the number of places the decimal point moved to the right was 8. In scientific notation, this number is .

### Example Question #474 : Ged Math

Which of the following is not equal to ?

Do not use a calculator.     Explanation:

A positive number raised to any real power is positive. and are the opposites of powers of positive numbers; they are therefore the opposites of positive numbers, making both negative.

A negative number raised to an odd power, such as , is negative.

A negative number raised to an even power, such as , is positive. is the only positive number among the choices and can be deduced as the correct choice.

### Example Question #475 : Ged Math

Without using a calculator, evaluate .     Explanation:

For any nonzero and for any  . Equivalently, any number raised to a negative power is equal to the reciprocal of that number raised to the power of the absolute value of the exponent.

The reciprocal of a number is the quotient of 1 and the number, so the reciprocal of 0.4 is .

Therefore, , which is the correct response.

### Example Question #476 : Ged Math

Evaluate without using a calculator:      Explanation: ### Example Question #477 : Ged Math

Simplify the expression:      Explanation:

A number or variable can be raised to a negative power by taking the reciprocal of the same number raised to the power of the absolute value of the exponent. ### Example Question #478 : Ged Math

Without using a calculator, evaluate:      For any nonzero and for any  . Equivalently, any number raised to a negative power is equal to the reciprocal of that number raised to the power of the absolute value of the exponent. Apply this power, along with the power of a quotient property:  