Which expression has the same value as m^-4+1/5^-4
a)1/m*1/m*1/m*1/m+5*5*5*5
b)m-4+1/5-4
c)1/m*1/m*1/m*1/m+4*4*4*4*4
d)1/m*1/m*1/m*1/m+1/5*1/5*1/5*1/5
SORRY MY MISTAKE!!!!!!
1 / 5 ^ - 4 = 1 / ( 1 / 5 ) ^ 4 = 5 ^ 4 = 5 * 5 * 5 *
1 / m * 1 / m * 1 / m * 1 / m + 5 * 5 * 5 * 5
ANSWER A
phew
To solve this problem, we need to simplify the expression m^-4 + 1/5^-4 and then compare it with the given options to identify which one has the same value.
Let's simplify the expression step by step:
m^-4 + 1/5^-4
Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, the expression can be written as:
1/m^4 + 1/(1/5)^4
Next, we simplify the expression within the parentheses:
1/m^4 + 1/(1^4 / 5^4)
Since any number raised to the power of 1 is itself:
1/m^4 + 1/(1 / 5^4)
To divide by a fraction, we invert and multiply:
1/m^4 + 5^4/1
Simplifying further:
1/m^4 + 625
Now that we have simplified the expression, let's compare it to the given options:
a) 1/m * 1/m * 1/m * 1/m + 5 * 5 * 5 * 5
This option does not have the same value because it uses multiplication instead of addition.
b) m^-4 + 1/5^-4
This option is the same as the original expression, so it has the same value.
c) 1/m * 1/m * 1/m * 1/m + 4 * 4 * 4 * 4 * 4
This option does not have the same value because it includes an extra multiplication with the number 4.
d) 1/m * 1/m * 1/m * 1/m + 1/5 * 1/5 * 1/5 * 1/5
This option also does not have the same value because it multiplies the reciprocal of 5 four times instead of 5^4.
Therefore, the expression that has the same value as m^-4 + 1/5^-4 is option b) m^-4 + 1/5^-4.
m ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m
1 / 5 ^ - 4 = 1 / 5 * 1 / 5 * 1 / 5 * 1 5
m ^ - 4 + 1 / 5 ^ - 4 =
1 / m * 1 / m * 1 / m * 1 / m + 1 / 5 * 1 / 5 * 1 / 5 * 1 5
Answer d
which point on the number line is closest to /17
A. Q
B. S
C. T
D. R