Question

Write 7 × √7 as a single power of 7.

Answer 1

7 x 2.6

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

`{7}^{ (3)/(2) }`

Explanation:

`√(7) \: can \: also \: be \: written \: as \: {7}^{ (1)/(2) }`

We can use this information to rewrite the original expression:

`7 * {7}^{ (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) * {7}^{ (1)/(2) } \\ {7}^{1 + (1)/(2) } \\ {7}^{1 (1)/(2) } \\ {7}^{ (3)/(2) }`