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denis23 [38]
4 years ago
12

Which expressions are equivalent to 7^{-2}\cdot 7^67

Mathematics
2 answers:
AleksandrR [38]4 years ago
3 0

Answer:

{7}^{ - 2}   \cdot \:  {7}^{6}  =  {7}^{ 4}

Step-by-step explanation:

The given expresion is;

{7}^{ - 2}  \cdot {7}^{6}

We apply the product rule of indices;

{a}^{m}   \cdot \:  {a}^{n}  =  {a}^{m + n}

We apply this property to our expression to get:

{7}^{ - 2}   \cdot \:  {7}^{6}  =  {7}^{ - 2 + 6}

Simplify the exponent on the right;

{7}^{ - 2}   \cdot \:  {7}^{6}  =  {7}^{ 4}

We can't see the options, but I hope this helps!

MrRa [10]4 years ago
3 0

Answer:

7^2/7^-2 and (7^2)^2

Step-by-step explanation:

please mark me as Brainliest

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