Write 7 × √7 as a single power of 7.

Question

asked Dec 11, 2023 28.9k views

2 Answers

Haris Qurashi · Answer 1 · 2023-12-12T12:17:33+0000

Answer:

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

Vladimir Sachek · Answer 2 · 2023-12-17T02:50:22+0000

Answer:

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

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:

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