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kumpel [21]
2 years ago
11

Which expression is equivalent to (Q^5)^2

Mathematics
2 answers:
Naily [24]2 years ago
6 0

The correct value that equates to this expression is q¹⁰

.

To solve this expression, just:

  • eliminate the parentheses and multiply the exponents among themselves;\boxed{  \large \sf (a {}^{n} ) {}^{m}  \rightarrow a {}^{n \times m}  } \\  \\
<h3>Resolution </h3>

{   = \large \sf (q {}^{5} ) {}^{2}  }

{   = \large \sf q {}^{5 \times 2}   }

\pink{ \boxed{   = \large \sf q {}^{10}   } } \\

Therefore, the answer will be <u>q¹⁰</u>

kati45 [8]2 years ago
3 0

Answer:

Q¹⁰

Step-by-step explanation:

Given that,

  • (Q⁵)^2

Solution:

Well,there is a law of exponents,which states that:

  • (a^b)^c = a^bc

Same case is here as well.

Just multiply both powers given.

  • (Q⁵)²

5*2 = 10

  • Q¹⁰

Hence, the expression equivalent to (Q⁵)² is (Q)¹⁰

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What are the solutions of the equation?
Romashka-Z-Leto [24]

Answer:

Option (D) is correct.

The solution of the quadratic equation 5z^2-9z-2=0 is \frac{-1}{5} and  z=2.

Step-by-step explanation:

Consider the given quadratic equation 5z^2-9z-2=0

We can solve a quadratic equation using middle term splitting method,

-9z can be written as -10z+z

thus, the equation becomes,

5z^2-10z+z-2=0

Taking factors common, we get,

\Rightarrow 5z(z-2)+1(z-2)=0

\Rightarrow (5z+1)(z-2)=0

\Rightarrow (5z+1)=0  or  \Rightarrow (z-2)=0

\Rightarrow z=\frac{-1}{5} or \Rightarrow z=2

Thus, the solution of the quadratic equation 5z^2-9z-2=0 is \frac{-1}{5} and  z=2.


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