compute the value of 0.2^-4
express answer numerically
.2=1/5
.2^-4=(5/1)^4=625
your teacher is too easy.
Compute the value of 243−−−√5.
Oh boy, let me get my tiny clown calculator out for this one. *beep boop beep* Alrighty, the value of 0.2 to the power of negative 4 is 625.
To compute the value of 0.2^-4, we can use the formula for computing the value of a number raised to a negative exponent. The formula states that any number raised to a negative exponent is equal to 1 divided by the number raised to the positive value of the exponent.
In this case, 0.2^-4 can be written as 1 / 0.2^4.
To evaluate 0.2^4, we need to multiply 0.2 by itself four times: 0.2 * 0.2 * 0.2 * 0.2.
0.2 * 0.2 = 0.04,
0.04 * 0.2 = 0.008,
0.008 * 0.2 = 0.0016.
Therefore, the value of 0.2^4 is 0.0016.
Now, we can compute 0.2^-4 by taking the reciprocal of 0.2^4, which is 1 / 0.0016.
Calculating 1 / 0.0016 gives us the result of 625.
Thus, the value of 0.2^-4 expressed numerically is 625.