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3 years ago

-5/7 (10 -1/5) Math equation

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

Answer:

-7

Step-by-step explanation:

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Find the value of the expression below. Express your answer in scientific notation.

nirvana33 [79]

The value of the expression is $8.8 \times 10^{-2}$ .

Solution:

Given expression:

$$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)$

<u>To find the value of the given expression:</u>

Using exponent rule: $a^m\times a^n=a^{m+n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

$$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

Using exponent rule: $\frac{a^m}{a^n} =a^{m-n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2$

$$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2$

Since $\frac{4.8}{1.2}=4$

$$\Rightarrow(4 \times 10^{-2})\times 2.2$

$$\Rightarrow 8.8 \times 10^{-2}$

Hence the value of the expression is $8.8 \times 10^{-2}$ .

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