# Often asked: What Are Exponents In Math?

## What is an exponent write an example?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6.

## What does 6 to the power of 2 mean?

If you are asked to take 6 and multiply it by 2, you are really doubling 6. In other words, 6 times 2 is like saying you have two 6’s. When you take 6 and square it (raise it to the power of 2 ), you are taking 6 and multiplying it by itself. So, 62 = 6 * 6 = 36.

## What does a 1/2 exponent mean?

Fractional exponents Taking a number to the power of 12 undoes taking a number to the power of 2 (or squaring it). In other words, taking a number to the power of 12 is the same thing as taking a square root: x 1/2 =√x.

## What’s the meaning of exponential?

1: of or relating to an exponent. 2: involving a variable in an exponent 10x is an exponential expression. 3: expressible or approximately expressible by an exponential function especially: characterized by or being an extremely rapid increase (as in size or extent) an exponential growth rate.

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## What power of 2 is 32?

Powers of 2 Table

. Powers of 2 Table (con’t.)
Bit Line # Power of 2 Expo- nent Binary Bit Weight in Decimal
33 232 4,294,967,296
34 2 33 8,589,934,592
35 2 34 17,179,869,184

## What is 2 by the power of 5?

2 to the 5th power is the same as saying that you need to multiply 2 by itself 5 times. In other words, 2 x 2 x 2 x 2 x 2. When you do the multiplication, you’ll find that 2 to the 5th power equals 32.

## How do you solve powers?

How to solve for exponents

1. xn=y. Take the log of both sides:
2. logxn=logy. By identity we get:
3. n⋅logx=logy. Dividing both sides by log x: n=logylogx. Find the exponent of a number.
4. 3n=81. Take the log of both sides:
5. log3n=log81. By identity we get:
6. n⋅log3=log81. Dividing both sides by log 3: n=log81log3.

## What is the rule for exponents?

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers., this says that to divide two exponents with the same base, you keep the base and subtract the powers.

## What are the five rules of exponents?

Exponent rules

• Product of powers rule. When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
• Quotient of powers rule.
• Power of a power rule.
• Power of a product rule.
• Power of a quotient rule.
• Zero power rule.
• Negative exponent rule.

## What are the 3 laws of exponents?

Rule 1: To multiply identical bases, add the exponents. Rule 2: To divide identical bases, subtract the exponents. Rule 3: When there are two or more exponents and only one base, multiply the exponents.

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## How do you simplify?

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.