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shepuryov [24]
3 years ago
12

Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: Wh

at is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Given:

The given expression is

(-4)^{-3}

To find:

The value of given expression.

Solution:

We have,

(-4)^{-3}

Applying the negative exponents rule, we get

(-4)^{-3}=\dfrac{1}{(-4)^3}     [\because a^{-n}=\dfrac{1}{a^n}]

Expanding the exponent, we get

(-4)^{-3}=\dfrac{1}{(-4)(-4)(-4)}  

(-4)^{-3}=\dfrac{1}{-64}  

(-4)^{-3}=-\dfrac{1}{64}  

The value of given expression is -\dfrac{1}{64}.

Therefore, the correct option is A.  

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Answer:

C.

Step-by-step explanation:

Easiest and fastest way to determine your answer is to graph the systems of inequalities on a graphing calc. Once you do so, you should be able to see that Choice C is the correct answer.

6 0
3 years ago
Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.
Sergio [31]

\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

\large\underline{  \boxed{ \sf{✰\:Important\: point's }}}

  • ➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
  • ➣ Circumference:- The line that bounds a circle or other two-dimensional figure

{ \rule{70mm}{2.9pt}}

★ also circumference of a circle is also known as it's perimeter

  • ➣To find circumference of circle when use formula

{ \boxed{✜\underline{  \boxed{ \sf{\: Circumference \:  of  \: circle= \: 2\pi \: r}}}✜}}

  • ➢ r = radius (25inch.)
  • ➢ value of π is 3.14

{ \rule{70mm}{2.9pt}}

\large\underline{  \boxed{ \sf{✰\: Let's\:solve }}}

\sf{➛ \: Circumference  \: of  \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference  \: of  \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference  \: of  \: circle =157inch}

★ Hence circumference of circle=157inch

\large\underline{  \boxed{ \sf{➪\:157inch. }}}

{ \rule{70mm}{2.9pt}}

Hope it helps !

4 0
2 years ago
this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t
pochemuha

Answer:

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LxWxH = v

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7 0
3 years ago
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viva [34]

Answer:

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Step-by-step explanation:

You have to simplify the question:

= 5+9m+45+8

= 50+9m+8

= 58+9m

5 0
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