Question

3 into 9 into 27 into 81 into 243 in exponent form is

Answer 1

3 into 9 into 27 into 81 into 243 in exponent form is $3^{15}$

Solution:

Given that,

We have to express the following in exponential form

$3 \times 9 \times 27 \times 81 \times 243$

Exponential form: numeric form involving exponents

From given,

$3 \times 9 \times 27 \times 81 \times 243$

Express each number as exponent with base 3

$3 = 3^1 \\\\9 = 3^ 2\\\\27 = 3^3\\\\81 = 3^4\\\\243 = 3^5$

Thus the given expression becomes:

$3 \times 9 \times 27 \times 81 \times 243 = 3^1 \times 3^2 \times 3^3 \times 3^4 \times 3^5$

When base is same, then exponents can be added

$3 \times 9 \times 27 \times 81 \times 243 = 3^{1+2+3+4+5} \\\\3 \times 9 \times 27 \times 81 \times 243 = 3^{15}$

Thus the given is expressed in exponential form

Learn more:

Express 972 in the exponential form in its prime factors

https://brainly.in/question/1661250

21 in exponential form

https://brainly.in/question/1624061