How Do You Simplify Numbers With Powers?

To simplify a power of a power,

you multiply the exponents, keeping the base the same

. For example, (2

³

)

⁵

= 2

¹⁵

. For any positive number x and integers a and b: (x

^a

)

^b

= x

^{a · b}

. Simplify.

How do you simplify equations with powers?

To simplify any algebraic expression, the following are the basic rules and steps: Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents

. Combine the like terms by addition or subtraction.

How do you solve numbers with powers?

To solve basic exponents,

multiply the base number repeatedly for the number of factors represented by the exponent

. If you need to add or subtract exponents, the numbers must have the same base and exponent.

What does it mean to simplify powers?

Recall that to simplify an expression means

to rewrite it by combing terms or exponents

; in other words, to write the expression more simply with fewer terms. The rules for exponents may be combined to simplify expressions.

How do you find the power of a number without a calculator?

So, for example, this is how you would solve 6^3 without a calculator, from start to finish. Write: 6 6 6, because the base number is 6 and the exponent is 3. Then write: 6 x 6 x 6, to place multiplication signs between each of the base numbers. After that, multiply out the first multiplication sign, or 6 x 6 = 36.

What is 4 by the power of 3?

Answer: The value of 4 to the 3rd power i.e., 4

³

is

64

.

How do you simplify an answer?

1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants.

How do you simplify?

1. Simplify: 78 – [24 – {16 (5 – 4 – 1)}] Solution:
2. Simplify: 197 – [1/9{42 + (56 – 8 + 9)} +108] Solution:
3. Simplify: 39 – [23 – {29 – (17 – 9 – 3)}] Solution:
4. Simplify: (i) 15 – (-5) {4 – 7 – 3} ÷ [3{5 + (-3) x (-6)}] Solution:

How do you simplify fractions with powers?

To simplify a fraction with powers in the numerator and denominator a possible method is

to factor each power base into prime factors

. With practice it can be done directly if the bases are small numbers.

How do you calculate powers?

A number, ​X​, to the power of 2 is also referred to as ​X​ squared. The number ​X​ to the power of 3 is called ​X​ cubed. ​X​ is called the base number. Calculating an exponent is as simple as

multiplying the base number by itself

.

What is the easiest way to find the power of a number?

A number, ​X​, to the power of 2 is also referred to as ​X​ squared. The number ​X​ to the power of 3 is called ​X​ cubed. ​X​ is called the base number. Calculating an exponent is as simple

as multiplying the base number by itself

.

What is the power of numbers?

A power is

the product of multiplying a number by itself

. … The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

What is 9 as a power of 3?

The two crucial terms used frequently in exponents are base and powers. To find 9 to the power of 3, we can write it in exponent form as 9

³

, where 9 is base and 3 is power. It means 9 is multiplied 3 times. So, 9 × 9 × 9 =

729

.

What does 4 to the 2nd power mean?

Thus, the value of 4 to the second power, i.e.,

4

²

is 16

.

What does 3 to the third power mean?

When a number is to the ‘third power,’ that means that

you are going to be multiplying the number by itself three times.

What does simplify to?

to make less complex or complicated

; make plainer or easier: to simplify a problem.