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Elden [556K]
3 years ago
12

which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answe

r fast.

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

3^{-3} ÷ 3^{4}

Step-by-step explanation:

Evaluate 3^3 ÷ 3^{-4}, then evaluate each given expression to find which of them will give us the same result.

3^3 ÷ 3^{-4}

27 ÷ \frac{1}{3^4} (recall: a^{-x} = \frac{1}{a^x}

27 ÷ \frac{1}{81}

27 * \frac{81}{1} (changing from division operation to multiplication by flipping the fraction to our right upside down)

27 * 81 = 2,187

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: 3^{-3} ÷ 3^{4}

\frac{1}{3^3} ÷ 81

\frac{1}{27} ÷ 81

\frac{1}{27} * \frac{1}{81} (changing from division to multiplication)

= \frac{1*1}{27*81}

= \frac{1}{2,187} (not equal)

3^{-3} ÷ 3^{4} i not equal to 3^3 ÷ 3^{-4}.

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