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andrew11 [14]
3 years ago
8

Simplify open parentheses x to the two fifths power close parentheses to the 3 sevenths power.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

  x^(6/35)

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

  (x^{\frac{2}{5}})^{\frac{3}{7}}=x^{\frac{2\cdot 3}{5\cdot 7}}=\boxed{x^{\frac{6}{35}}=\sqrt[35]{x^6}}

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I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}

However, traditionally, we want only positive exponents, so this wouldn't be correct.

4 0
4 years ago
Read 2 more answers
3000 in 5 years 4% interest compounded 4 times a year . How much money should Tracey deposit
EleoNora [17]
Tracy should deposit 1,369.86 to earn 3,000 in 5 years at 4% interest rate compounded 4 times a year

Given:
Compounded Interest = 3000
Term = 5 year
Frequency = 4 times a year
interest rate = 4%
Principal = unknown. 


C.I = Principal × (1 + rate)^t
3000 = Principal × (1.04⁴)⁵
3000 = Principal × 1.17⁵
3000 = Principal x 2.19
3000/2.19 = Principal
1,369.86 = Principal
5 0
4 years ago
What’s the slope of the black line
maks197457 [2]

Answer:

Slope= - 1/2

Step-by-step explanation:

6 0
2 years ago
Use the​ maximum-minimum feature of your graphing calculator to determine the location of the peaks and valleys of f (x )equals
Mamont248 [21]

Answer:

  a) maximum of 2.4 at x=-2

  b) minimum of -0.3 at x=1

Step-by-step explanation:

A cubic function that is not monotonic will have one maximum and one minimum. If the leading coefficient is positive (as here), the maximum will have an x-coordinate that is less than that of the minimum.

The graph shows the extrema you're looking for.

7 0
3 years ago
What is 62394 rounded to the nearest ten
Semmy [17]

Answer:

62390

Step-by-step explanation:

you have to round up if it's 5 or more and round down if it's less.

3 0
3 years ago
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