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4 years ago

In which expression should the exponents be multiplied?

1 answer:

8 0

If we have the same base, we can do this:
(1/3)^4*(1/3)*7 = (1/3)^(4+7) = (1/3)^11
3^7/3^15 = (3^7)*(3*(-15)) = 3^(7 + (-15)) = 3^(-8) = 1/(3^8)
4^5*4^2 = 4^(5+2) = 4^7

You might be interested in

Solve for x.

dalvyx [7]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,

< FAE = 4x°
< FAB = 2x°

__________________

From the explanation, we can understand that,

Sum of the linear pair = 180°

< FAE + < FAB = 180°

4x° + 2x° = 180°

6x° = 180°

x° = 180 ÷ 6

x = 30°.

__________________

The value of x will be 30° (3rd option).

__________________

NOTE : Here, the lesser than symbol ( < ) stands for 'angle'.

7 0

3 years ago

Simplify the polynomial and evaluate for the following values. x^2 yxy-xy^2xy if x=-3 and y=2 the simplified polynomial is = , T

Alinara [238K]

Answer:

The simplified polynomial is x^3 y^2 -x^2 y^3 +xy

The value is -186

Step-by-step explanation:

4 0

2 years ago

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord

Vikki [24]

Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters? well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x, or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x} \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7$

how much will be it of the 10% juice? well, y = 15 - x.

6 0

3 years ago

If five times a number is plus two is 17 what is the number

butalik [34]

3 if 5 times a number plus two is 17, then we can say 5x+2=17 if we subtract two on each side we have 5x=15, divide each side by 5 and you get x=3 so your answer is 3

8 0

3 years ago

Read 2 more answers

Find the slope of the line.

Damm [24]

y2-y1 / x2-x1 is how to get slop3 for 2 points (x1,y1) and (x2, y2). So 4-1 / 2-0 and the slope is 3/2. If this is right could you possibly give me brainliest? Hope this helped.

8 0

3 years ago