Sure, let's solve this step by step:

1. First, we need to understand that $$\sqrt[8]{7^3}$$ is the same as $$7^{3/8}$$. This is because the nth root of a number can be expressed as that number raised to the power of 1/n.

2. Now, we have the equation $$7^a = 7^{3/8}$$.

3. Since the bases (7) are the same, the exponents must also be equal. Therefore, we can set a equal to 3/8.

4. So, $$a = 3/8$$.

Question

Sure, let's solve this step by step:

1. First, we need to understand that $$\sqrt[8]{7^3}$$ is the same as $$7^{3/8}$$. This is because the nth root of a number can be expressed as that number raised to the power of 1/n.

2. Now, we have the equation $$7^a = 7^{3/8}$$.

3. Since the bases (7) are the same, the exponents must also be equal. Therefore, we can set a equal to 3/8.

4. So, $$a = 3/8$$.

Knowee AI · Accepted Answer

Sure, let's solve this step by step:

1. First, we need to understand that $$\sqrt[8]{7^3}$$ is the same as $$7^{3/8}$$. This is because the nth root of a number can be expressed as that number raised to the power of 1/n.

2. Now, we have the equation $$7^a = 7^{3/8}$$.

3. Since the bases (7) are the same, the exponents must also be equal. Therefore, we can set a equal to 3/8.

4. So, $$a = 3/8$$.

If \[7^a=\sqrt[8]{7^3}\], what is the value of \[a\] ?

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