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zvonat [6]
3 years ago
5

Which is equivalent to -√10 3/4^x?

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

Answer:

\Rightarrow -\sqrt[8]{10^{3x}}

D is correct

Step-by-step explanation:

Given: -(\sqrt{10^{3/4}})^x

It is complex radical equation.

As we know,

\sqrt[n]{a}=a^{1/n}

or viceversa

a^{1/n}=\sqrt[n]{a}

In the given expression

\Rightarrow -(\sqrt{10^{3/4}})^x

\Rightarrow -10^{\frac{1}{2}\cdot\frac{3}{4}\cdot x}

simplifying the exponent

\Rightarrow -10^{\frac{3x}{8}}

Here, the radical is 8 and change exponent to radical form

\Rightarrow -\sqrt[8]{10^{3x}}

Hence, -(\sqrt{10^{3/4}})^x is equivalent to \Rightarrow -\sqrt[8]{10^{3x}}

Galina-37 [17]3 years ago
4 0

3√10^4x is equivalent to -√10 3/4^x and -4√10^3x they are all equivalent

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