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3 years ago

Help please and simply it

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

-6, because -6^3 is -215

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Help me? idk the answer :P

Alexus [3.1K]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
\left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group}
\\\\
-------------------------------\\\\
$

$\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\
-------------------------------\\\\
\textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4$

$\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\
-------------------------------\\\\
\textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8}
\\\\\\
\cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}$

$\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9$

7 0

2 years ago

What is the interest you will pay if you borrowed $1,250 at 4% interest for 4 years?

AleksAgata [21]

Answer:

$200

Step-by-step explanation:

The formula for calculating interest = principal x interest rate x time

principal is the amount borrowed = $1250

interest rate = 4%

Time = amount of years the money is borrowed for

$1250 x 0.04 x 4 = $200

8 0

2 years ago

Read 2 more answers

What's the answer

SVEN [57.7K]

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

<h3>How to understand a piecewise function</h3>

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0

2 years ago

How do you add a fraction with different denomirers

e-lub [12.9K]

Hey there!
When we're adding with different denominators, our goal is to keep the equivalent fraction, but create like denominators.
Let's think of an easier situation. If we have the number 5 and we want an equivalent number, we multiply by one. It's no different with fractions. We want to multiply by some version of one, like 2/2 or 4/4
For example, if we have:
2/8 + 4/6

Our LCM is 24. Therefore, we multiply 2/8 by 3/3:
2/8(3/3) = 6/24

And 4/6 by 4/4:
4/6(4/4) = 16/24

As you can see, we multiplied by versions of 1, so they're still the same fraction.

We have:
16/24 + 6/24 = 22/24 = 11/12

Hope this helps!

5 0

3 years ago

HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!11111

vaieri [72.5K]

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:

16 x 0.5 = 8

16 x -0.75 = -12

16 x 2 = 32

4 0

2 years ago

Read 2 more answers