Question

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

Answer 1

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!

Answer 2

Answer:

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

Step-by-step explanation:

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