Mathematics: Choose the correct simplification of the expression 4 times b all over a to the power of negative 10. a to the 10th power times b all over 4 4a10b 4 over a to the 10th power times b already simplified

Choose the correct simplification of the expression

tommy4260

15.01.2022

Option B is correct that is $4a^{10}b$

Step-by-step explanation:

Given Expression: $\frac{4\times b}{a^{-10}}$

We have to simplify the Given Expression.

We use the following law of exponent,

$x^{-a}=\frac{1}{x^a}$

Consider,

$\frac{4\times b}{a^{-10}}$

$=4\times b \times a^{10}}$

$=4a^{10}b$

Therefore, Option B is correct that is $4a^{10}b$

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edson23

25.05.2020

9514 1404 393

a = 17∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

(4a +10) +(6a) = 180

10a = 170 . . . . . . . . . . subtract 10

a = 17 . . . . . . . . . . . . . divide by 10

Then the measure of angle ABC is ...

∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

∠ABC = 78°

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