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3 years ago

What is the value of the expression shown below?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

5 0

Answer:

$\frac{9}{4}$

Step-by-step explanation:

We are given that

2 + (3+5 ) 2 ÷ 4 ( 1/2)^4

2 + (8 ) 2 ÷ 4 ( 1^4 / 2^4)

Applying rule of exponents which says

(a/b)^m = a^m / b^m

2 + (8 ) 2 ÷ 4 ( 1 / 16)

2 + (8) ( 1/ 2 ) (1 / 16)

2 + 4 ( 1/16)

2 + (1/4)

(8+1)/4

9/4

Answer

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3 years ago

9 exponent 10<br> Divide by 9 exponent 11

Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

I assume you mean $\frac{9\sqrt{10} }{9\sqrt{11} }$

there is a common factor of 9 in the numerator and denominator so we can cancel out to form $\frac{\sqrt{10} }{\sqrt{11} }$

$\frac{\sqrt{10} }{\sqrt{11} }$ is technically a correct answer, but I will go ahead to rationalize the denominator

multiply $\frac{\sqrt{10} }{\sqrt{11} }$ by some form of 1. this case, we will use $\frac{\sqrt{11} }{\sqrt{11} }$ as our 1.

$\frac{\sqrt{10} }{\sqrt{11} }$ * $\frac{\sqrt{11} }{\sqrt{11} }$ = $\frac{\sqrt{10} *\sqrt{11} }{\sqrt{11} *\sqrt{11} }$ = $\frac{\sqrt{110} }{11}$

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