We read your photo as:

Evaluate the expression \((-(3)/(2))2\).

Mathematics

ScanSolve AI Answer

Answer

94\frac{9}{4}

Step-by-step solution

5 steps

  1. Identify the expression.

    The expression shown in the image is (−32)2\left(-\frac{3}{2}\right)^2.

  2. Apply the exponent to both the numerator and the denominator.

    When a fraction is raised to a power, both the numerator and the denominator are raised to that power. Also, a negative number raised to an even power results in a positive number.

    (−32)2=(−3)2(2)2\left(-\frac{3}{2}\right)^2 = \frac{(-3)^2}{(2)^2}

  3. Calculate the square of the numerator.

    (−3)2=(−3)×(−3)=9(-3)^2 = (-3) \times (-3) = 9

  4. Calculate the square of the denominator.

    (2)2=2×2=4(2)^2 = 2 \times 2 = 4

  5. Combine the results to get the final answer.

    94\frac{9}{4}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QEvaluate the expression: (1)/(2) of 3(1)/(3) + 1(1)/(2) (2(1)/(8) − (2)/(3))(3)/(4) of 2(1)/(2) /…QEvaluate the expression sqrt(2(1)/(4) × 1((1)/(3))2) + [3]3(3)/(8).QEvaluate the expression: 22 − [15 - \48 / (16 − 6 / 3 × 4 − 1)\]
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp