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# What is the simplified value of the exponential expression 27^1/3?

Answer: = 3 . Step-by-step explanation: Given : .

## Bearing this in mind what is the value of 27 to the power 1 by 3?

Answer: 27 to the power of 1/3 is 3.

## With that knowledge in mind, what is the power of 3 of 27?

Exponent Tables and Patterns
Powers of 3Powers of 9
31=391=9
32=992=81
33=2793=729
34=8194=6561

## Accordingly, the question is what is a simplified exponential form?

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.

#### What is the simplest form of the number 27 2 3?

The simplest for this answer is 27.66666666.. or 83/3.

#### What is 9 as a power of 3?

The exponent of the number 9, 3, also called index or power, denotes how many times to multiply the base (9). 9 to the power of 3 = 93 = 729.

#### What are the three types of exponential equations?

Introduction to Exponential Functions. In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.

#### What is 3 to the O power?

3 to the power of 0 is the same as 3 raised to 0. In xy, 3 is the base (x) and 0 is the exponent (y). Therefore, you can also write the problem as 30. You will also get the answer of 3 to the power of 0 (3 to the 0th power) if you type 3 then xy then 0 and then = on your scientific calculator.

#### What is exponential function example?

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.

#### How do we solve equations with exponential expressions?

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y .

#### What is exponential expression example?

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. A number raised to the first power is that number. For example, 101 = 10.

#### What does exponential expression look like?

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32 it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

#### How do you simplify 27?

To simplify the square root of 27, let us first express 27 as a product of its prime factors. Prime factorization of 27 is 3 × 3 × 3. Therefore, √27 can be simplified further as √3 × 3 × 3 =3√3. Thus, we have expressed the square root of 27 in the simplest radical form as 3√3.

#### How do you calculate powers?

Section Summary
1. Power is the rate at which work is done, or in equation form, for the average power P for work W done over a time t, P=Wt.
2. The SI unit for power is the watt (W), where 1 W=1Js 1 W = 1 J s .
3. The power of many devices such as electric motors is also often expressed in horsepower (hp), where 1 hp = 746 W.

#### What is the simplest value of the exponential expression 27 1 3?

Answer: = 3 . Step-by-step explanation: Given : .

#### What is an exponential expression example?

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. A number raised to the first power is that number. For example, 101 = 10.