Math, asked by parthsaini3017, 1 year ago

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

Answers

Answered by sharonr
2

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:

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