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4 votes
Write 7 × √7 as a single power of 7.

User Vibin TV
by
8.7k points

2 Answers

10 votes

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

User Haris Qurashi
by
7.8k points
9 votes

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) }

User Vladimir Sachek
by
8.3k points

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