Mathematics: Write 7 × √7 as a single power of 7.

12×12×12×12×12 is equivalent to 12^5 (a^b means a is to be written down B times all being multiplied.)...

Write 7 × √7 as a single power of 7.

kenken2583

03.03.2022

${7}^{ \frac{3}{2} }$

Step-by-step explanation:

$\sqrt{7} \: can \: also \: be \: written \: as \: {7}^{ \frac{1}{2} }$

We can use this information to rewrite the original expression:

$7 \times {7}^{ \frac{1}{2} }$

7 can also be written as

${7}^{1}$

Remember that when multiplying exponents, if they have the same base, we can add the exponents. Therefore:

${7}^{1} \times {7}^{ \frac{1}{2} } \\ {7}^{1 + \frac{1}{2} } \\ {7}^{1 \frac{1}{2} } \\ {7}^{ \frac{3}{2} }$

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