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What is the value of the expression shown below?
10 + (2 x 3) to the power of 2 ÷ 4 × 1/2 to the power of 3

11 and 1/8
25 and 1/6
69
82

Sagot :

11 1/8
Explanation
The answer comes out to 11.125 however in mixed number form it’s 11 1/8
Droplxtzidn

Answer:

11 and 1/8

Step-by-step explanation:

We can do this in the format of PEMDAS

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

10 + (2 × 3[tex])^{2}[/tex] ÷ 4 × [tex]\frac{1}{2} ^{3}[/tex]

Let's do the parenthesis first

10 + [tex]6^{2}[/tex] ÷ 4 × [tex]\frac{1}{2} ^{3}[/tex]

Now we can do the fraction with the exponent second

10 + [tex]6^{2}[/tex] ÷ 4 ×  [tex]\frac{1}{8}[/tex]

Now we can do the other exponent

10 + 36 ÷ 4 × [tex]\frac{1}{8}[/tex]

Now we can divide the 36 and 4

10 + 9 × [tex]\frac{1}{8}[/tex]

Now we can multiply the 9 and  [tex]\frac{1}{8}[/tex]

10 + [tex]\frac{9}{8}[/tex]

And we can convert the improper fraction to a mixed number

10 + 1 1/8

And now we can add them up, the 2 whole numbers and the fraction stays the same

11 1/8

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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