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BaLLatris [955]
3 years ago
11

Simplify the expression ​

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer:

9.

Step-by-step explanation:

3^-2 / 3^-4 = 3^(-2 - -4)

= 3^(-2+4)

= 3^2

= 9.

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3 years ago
Can anyone math experts help and guide me through these questions❓
Lubov Fominskaja [6]

Step-by-step explanation:

The volume of a cube is

a {}^{3}

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

{a}^{2}

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That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

1.

125 =  {a}^{3}

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

\sqrt[3]{125}  =  \sqrt[3]{a {}^{3} }

The cube root of 125 is 5 so

5 = a

5 cm

2.

8 =   {a}^{3}

\sqrt[3]{8}  =  \sqrt[3]{ {a}^{3} }

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343 =  {a}^{3}

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4.

1000 = a {}^{3}

10 = a

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5.

1728 =  {a}^{3}

a = 12

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6.

1 =  {a}^{3}

a = 1

1 m

4 0
2 years ago
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