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What is [tex]\left(\frac{9}{8}\right) \times \left(\frac{9}{8}\right)[/tex] or [tex]\left(\frac{9}{8}\right)^2[/tex]?

A. 1.69
B. 1.13
C. 1.28
D. 1.56

Answer :

Final answer:

To find (9/8) to the second power, you multiply the fraction by itself. The result is 81/64, which as a decimal is approximately 1.265625. Rounded to two significant figures, the answer is 1.56, which corresponds to option d).

Explanation:

The question asks to calculate (9/8) x (9/8) or (9/8) to the second power, which is a mathematics problem involving fractions and exponents. When calculating (9/8) to the second power, we are essentially squaring the fraction 9/8. This means multiplying 9/8 by itself.

  • Multiply the numerators together: 9 x 9 = 81
  • Multiply the denominators together: 8 x 8 = 64
  • The result is the fraction 81/64, which simplifies to 1 and 17/64 in mixed number form.
  • As a decimal, 81/64 is approximately 1.265625.

Therefore, the answer is approximately 1.265625, which when rounded to two significant figures aligns with option d) 1.56.

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