Question

(9/8)⁰-(1/8)‐²×1/72​

Answer 1

$( \frac{9}{8} {)}^{0} - ( \frac{1}{8} ) {}^{ - 2} \times \frac{1}{72} = 1 - {8}^{2} \times \frac{1}{72} = \\ 1 - 64 \times \frac{1}{72} = - 63 \times \frac{1}{72} = - \frac{63}{72} = \\ \frac{7}{8}$

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Answer 2

Let's simplify the expression step by step:

Step 1: (9/8)⁰ = 1 Any number raised to the power of 0 is always equal to 1.

Step 2: (1/8)⁻² = 8² = 64 To find the reciprocal of (1/8) and then square it, we get 64.

Step 3: 1/72 = 1/72 This step doesn't require any further simplification.

Now, the expression becomes:

1 - 64 * (1/72)

Step 4: 64 * (1/72) = 64/72 = 8/9 Multiply 64 by 1/72 to get 8/9.

Step 5: 1 - 8/9

Step 6: Convert 1 to have a denominator of 9: 9/9 - 8/9 = 1/9

So the simplified expression is 1/9.