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Tasha used the pattern in the table to find the value of 4 Superscript negative 4. Powers of 4 Value 4 squared 16 4 Superscript 1 4 4 Superscript 0 1 4 Superscript negative 1 One-fourth 4 Superscript negative 2 StartFraction 1 Over 16 EndFraction She used these steps. Step 1 Find a pattern in the table. The pattern is to divide the previous value by 4 when the exponent decreases by 1. Step 2 Find the value of 4 Superscript negative 3. 4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction Step 3 Find the value of 4 Superscript negative 4. 4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction Step 4 Rewrite the value for 4 Superscript negative 4. StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction In which step did Tasha make the first error? Step 1 Step 2 Step 3 Step 4

User Bidoubiwa
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2 Answers

7 votes

Answer:

Explanation:

First error step 4

5 votes

Answer:

Step 4

Explanation:

The table is given below


\left|\begin{array}c$Powers of 4 &$Value\\---&---\\4^2&16\\4^1&4\\4^0&1\\4^(-1)&\frac14\\4^(-2)&(1)/(16)\end{array}\right|

Tasha wants to find the value of
4^(-4).

Her steps are:

Step 1: Find a pattern in the table.

The pattern is to divide the previous value by 4 when the exponent decreases by 1.

Step 2: Find the value of
4^(-3).


4^(-3)=(1)/(16) / 4= (1)/(16) * (1)/(4)= (1)/(64)

Step 3: Find the value of
4^(-4).


4^(-4)= (1)/(64) / 4 = (1)/(64) * (1)/(4)= (1)/(256)

Step 4: Rewrite the value for
4^(-4).


(1)/(256) = -(1)/(4^(-4))

Tasha made her first error in Step 4. The correct step is:


(1)/(256) = (1)/(4^(4))

User Ellissia
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