the question is
3x to the negative fourth power plus 8 when x equals 2
please help
its 125/16
(3x)^(-4)+8
1/(3x)^4 + 8
1/(3*2)^4 + 8
1/6^4 + 8
8 1/1296
To solve this problem, we need to substitute the given value of x (which is 2) into the equation and then simplify.
The given equation is:
3x^(-4) + 8
Step 1: Substitute the value of x into the equation:
3(2)^(-4) + 8
Step 2: Simplify the exponent:
2^(-4) means the reciprocal of 2^4 (2 raised to the power of 4).
So, 2^(-4) = 1/(2^4) = 1/16
Step 3: Substitute the simplified value back into the equation:
3 * (1/16) + 8
Step 4: Simplify the expressions:
3/16 + 8
Step 5: Find a common denominator (denominator = 16):
3/16 + (8 * 16/16) = 3/16 + 128/16
Step 6: Add the fractions:
3/16 + 128/16 = (3 + 128)/16 = 131/16
Therefore, when x equals 2, the value of the expression 3x^(-4) + 8 is 131/16.