(8.8*10^-5)^-5
When raising to a power multiply the exponents.
8.8*10^25
Don't forget the coefficient:
(8.8*10^-5)^-5
8.8^-5.5 * 10^25
10^25 / 8.8^5
or .000018949 * 10^25
= 1.8949*10^20 if you want an answer in scientific notation
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To solve the expression (8.8 * 10^-5)^-5, you can follow these steps:
Step 1: Multiply the base (8.8) by the exponent (-5). This means you need to raise 8.8 to the power of -5.
8.8^-5
Step 2: To simplify further, you can rewrite 8.8 as a decimal. Since 10^1 is the same as 10, you can rewrite 8.8 as 8.8 * 10^0.
(8.8 * 10^0)^-5
Step 3: Apply the exponent rule. When you raise the power of a product, you can distribute the exponent to each factor. This means you can raise 8.8 to the power of -5 and 10^0 to the power of -5 separately.
8.8^-5 * (10^0)^-5
Step 4: Now, simplify each part. The exponent -5 indicates that you need to take the reciprocal of the number raised to that exponent.
1/(8.8^5) * 1/(10^0)^5
Step 5: Since any number raised to the power of 0 is equal to 1, we can simplify further.
1/(8.8^5) * 1/(1^5)
Step 6: Finally, calculate the value of the expression by evaluating the exponent.
1 / 8.8^5
Using a calculator, raise 8.8 to the power of 5:
8.8^5 ≈ 45150.624
Then, take the reciprocal of the result:
1 / 45150.624 ≈ 2.2143 * 10^-5
Therefore, (8.8 * 10^-5)^-5 is approximately equal to 2.2143 * 10^-5.