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3 years ago

Which expression is equivalent to (One-sixteenth) Superscript negative 4?

Mathematics

2 answers:

Sliva [168]3 years ago

4 0

Answer:

16^4

Step-by-step explanation:

Bumek [7]3 years ago

3 0

Answer:

65,536

Step-by-step explanation:

Since there are no options, I would simply simplify the expression given.

One-sixteenth= $\frac{1}{16}$

We want to determine an equivalent expression to $(\frac{1}{16})^{-4}$

Now, from laws of indices (i) $a^{-1}=\frac{1}{a}$ (ii) $a^{mn}=(a^m)^n$

Therefore applying Rule (ii) above: $(\frac{1}{16})^{-4}$ = $(\dfrac{1}{16})^{-1X4}=[(\dfrac{1}{16})^{-1}]^4$

Using Rile (i),

$(\dfrac{1}{16})^{-1}=\dfrac{1}{\dfrac{1}{16}}=16$

Therefore $[(\dfrac{1}{16})^{-1}]^4 =16^4=65536$

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Help me find the surface area

Brut [27]

Answer:

Step-by-step explanation:

area of triangular face = ½·3·4 = 6 cm²

area of 3 by 7 face = 3×7 = 21 cm²

area of 5 by 7 face = 5×7 = 35 cm²

area of 4 by 7 face = 4×7 = 28 cm²

total surface area = 2×6 + 21 + 35 + 28 = 96 cm²

6 0

3 years ago

0.23x + 1.47 = 0.37x – 1.05

Artyom0805 [142]

0.23x+1.47=0.37x-1.05

-1.47 -1.47

0.23x=0.37x-2.52

-0.37 -0.37

-0.14x=-2.52

/-0.14 /-0.14

x=18

Hope it helps!

4 0

3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

4 years ago

Interior angle of triangles

Neporo4naja [7]

I'm not sure what you are looking for. If you want to know the total number of degrees that interior angles of triangles total, they add up to 180°.

Hope this helps! :)

7 0

3 years ago

A trapezoid is 14 centimeters high and has bases that measure 13.5 centimeters and 27.5 centimeters. What is the area of the tra

Pie

So, the area of the trapezoid is 287 cm².

5 0

3 years ago