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slamgirl [31]
3 years ago
8

Represent the following expressions as a power of the number a (a≠0): c ((a2)−2)5÷(a4a)3

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

1/a²⁷

Step-by-step explanation:

Given: $ \frac{((a^2)^{-2})^5}{a^4.a^3} $

We know that when the bases are same the powers can be added. i.,e.,

                                           (xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾

⇒ $ \frac{((a^2)^{-2})^5}{a^4.a^3} \implies \frac{(a^2)^{-10}}{a^7} $

$  \implies \frac{a^{-20}}{a^7} = a^{-20 - 7} = a^{-27} $

Also, $ \frac{x^a}{x^b} = x^{a - b} $

This is nothing but, $ \frac{1}{a^{27}} $.

Note that $ a $ cannot be zero here. The condition is provided in the question as well.

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Answer:y = - 2x + 7/6

Step-by-step explanation:

The point slope form of the equation is expressed as

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Comparing with the point slope form of an equation,

y - 1 = m(x - 1)

From the given equation,

Slope, m= - 2

The point through which the line passes through is ( 1/4 , 2/3)

The slope intercept form is expressed as

y = mx + c

Where

m represents slope

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To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes

2/3 = - 2 × 1/4 + c

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c = 2/3 + 1/2 = 7/6

Therefore, the slope intercept form would be

y = - 2x + 7/6

7 0
3 years ago
Please help me find the value of this expression 2[5(11 - 2)] - 16
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Hello there, and thank you for asking your question here on brainly.

Short answer: 74

Why?

We have two sets of parenthesis here, and we have to do the parenthesis inside of the other parenthesis, (called brackets) first. (11 - 2 = 9) Now multiply 9 by 5. (9 × 5 = 45) Multiply 45 by 2 . . . (45 × 2 = 90) Finally, subtract 90 by 16. (90 - 16 = 74)

Hope this helped you! ♥
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