which exponent makes the statement true 1/5^9=5
To find the exponent that makes the statement true, 1/5^9 = 5, we can follow these steps:
1. Start by simplifying the left side of the equation, 1/5^9. This means we need to evaluate the exponent 5^9.
2. To calculate 5^9, multiply 5 by itself 9 times: 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 1,953,125.
3. Now we have the equation 1/1,953,125 = 5.
4. We can simplify the left side of the equation by writing it in decimal form. 1/1,953,125 is equivalent to 0.000000000512 (approximately).
5. Comparing the simplified left side (0.000000000512) with the right side (5), we see that they are not equal. Therefore, there is no exponent that will make the statement 1/5^9 = 5 true.
In summary, there is no exponent that satisfies the equation 1/5^9 = 5.