7^4 * 7^-9
The expression is equivalent to .
To rewrite the expression using a single positive exponent, we can use the properties of exponents.
Recall the property of exponents that says . This means that when you have the same base raised to different exponents and they are multiplied, you can add the exponents.
Now, simplify the exponent:
Recall another property of exponents that states . This means that when you have a negative exponent, you can rewrite it as the reciprocal of the base raised to the positive exponent.
So, the expression is equivalent to .
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