Change this radical to an algebraic expression with fractional exponents. √y^2 The exponent on y is:

2 answers:

8 0

The power rule (or law of indices) related to root is given
$x^{ \frac{1}{2} }= \sqrt[2]{x}$

We have $\sqrt{ y^{2} }$
Rewrite according to the rule we have $y^{ \frac{2}{2} } = y^{1}$

The exponent on y is '1'

gulaghasi [49]3 years ago

7 0

Answer:

Step-by-step explanation:

The formula is: $\sqrt[n]{x^m} =x^\frac{m}{n}$

Notice that if a = b, the exponent is 1; so, any base raised to the same power as the index will equal the base.

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4 0

3 years ago

4/5x = -16

Sveta_85 [38]

<h2>Hello!</h2>

The answers are:

1 $x=-20$

2 $x=-9$

3 $x=-5$

4 $r=-2$

5 $x=-4.5$

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

$\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20$