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3 years ago

Simplify 2^3 x 2^18 A. 2^54 B. 4^54 C. 4^21 D. 2^21

1 answer:

4 0

When you multiply powers, you add them. You keep the constant (2) the same.

3+18= 21

2^21 <=== the answer

“D” is the answer.

I hope this helps!
~kaikers

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In the magic square shown, the sums of the numbers in each row, column and diagonal are the same. What are the values of x, y, z

garri49 [273]

$v=23$ , $w=19$ , $x=22$ , $y=26$ , $z=20$ ;; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.

Use $v+w+24=v+43$ and solve for $w$ , which would result in $w=19$ .

You can also use $x+z+24=z+46$ to find $x$ – or $x=22$ .

Plug in the values for $x$ and $w$ , and find $y$ using $25+22+19=y+40$ or $66=y+40$ and results in $y=26$ .

After plugging in the $y$ value, you can easily find $v$ and $z$ .

$v+18+25=66$ – since 66 is the sum of a full row, and the sums of the numbers in each row, column, and diagonal are the same, so therefore, $v+43$ should also equal 66. This results in $v=23$ , and, using the same value for the sum of $z+21+25$ , or $z+46=66$ , we find that $z=20$ .

The final answer is $v=23$ , $w=19$ , $x=22$ , $y=26$ , $z=20$ .

Sorry it took so long;; I hope this helps :)

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