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3 years ago

Simplify 14 to the 15th power over 14 to the 5th power

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Answer:

d) 14^10.

Step-by-step explanation:

14^15 / 14^5

= 14^(15-5(

= 14^10.

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Take a factor out of the square root:

Allisa [31]

Answer:

Question A)

$=\sqrt{6}x$

Question B)

$=3a\sqrt{a}$

Question C)

$=5\sqrt{2}b^2$

Step-by-step explanation:

We are given:

$\sqrt{6x^2}\, \text{ where } x\geq 0$

We can rewrite the expression:

$=\sqrt{6}\cdot \sqrt{x^2}$

The square root and square will cancel each other out. Thus:

$=\sqrt{6}x$

We are given:

$\sqrt{9a^3}$

Rewrite:

$=\sqrt{9}\cdot \sqrt{a^3}$

Note that the square root of 9 is simply 3. We can also factor the second part:

$=3\cdot \sqrt{a^2\cdot a}$

Rewriting:

$=3\cdot\sqrt{a^2}\cdot\sqrt{a}$

Simplify:

$=3a\sqrt{a}$

We are given:

$\sqrt{50b^4}$

Rewrite. Note that 50 = 25(2):

$=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}$

Simplify. We can rewrite the factor as:

$=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}$

The square and square root will cancel out. Thus:

$=5\sqrt{2}b^2$

8 0

3 years ago

On a coordinate plane, a dashed straight line with negative slope goes through (0, 1) and (2, negative 2). Everything to the lef

charle [14.2K]

Answer:

$y$

Step-by-step explanation:

The straight line passes through (0,1) and (2,-2).

Equation of a straight line passing through two points (x1,y1) and (x2,y2)

is given by:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$

$y-1=\frac{-2-1}{2-0}(x-0)$

$y=-\frac{3}{2}x+1$

Everything to the left of the line is shaded.

We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.

From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.

LHS=y=0

RHS= $-\frac{3x}{2}+1=1\ (x=0)$

LHS<RHS as 0<1

Hence , the inequality is:

$y$

8 0

3 years ago

Read 2 more answers

Solve for c.

Vanyuwa [196]

Answer:

Step-by-step explanation:

solve for c by simplifying both sides of the equation then isolate the variable

6 0

3 years ago

Does anyone know this? <br> pls don’t answer if you don’t.

Aneli [31]

the answer is the last one

3 0

3 years ago

1821.5/0.7 ... can someone please explain and answer this? Thank you SO much!!

S_A_V [24]

So you cant have a decimal in your divisor which means the problem sill become 18215/7 if that helps

8 0

3 years ago