Question

if 2=10m and 3=10n, then find the value of 0.15 in exponential form​

Answer 1

Answer:

2+3=10(m+n)

5=10(m+n)

5×3=100(m+n)n

0.15=(m+n)n

Answer 2

$\bold{0.15 = 10^{n-m-1}}$

Step-by-step explanation:

We are given the following information in the question:

$2 = 10^m\\3 = 10^n$

We have to express 0.15 in exponential form.

We can write:

$0.15 = \dfrac{3}{2\times 10}\\= \dfrac{10^n}{10^m\times 10} = \dfrac{10^n}{10^{m+1}} = 10^{n-m-1}$

We used the exponential rules:

$\dfrac{x^m}{x^n} = x^{m-n}\\x^m\times x^n = x^{m+n}$

#Learnmore

Express express the following in exponential form​

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