Question

Write 7 × √7 as a single power of 7.

Answer 1

Answer:

7 x 2.6

Step-by-step explanation:

the square root of 7 is exactly 2.645751311064591, so in this case I converted it to a smaller number, using tenths place.

solution:

7 x 2.6 = 18.2

Answer 2

Answer:

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

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:

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