If some one could help me with this one I am stuck 256^-1/4 and thankyou
1/4 or 0.25
http://www.google.com/webhp?source=search_app#hl=en&sclient=psy-ab&q=256%5E-1%2F4&oq=256%5E-1%2F4&gs_l=serp.3...1.3625.1.4742.1.1.0.0.0.0.105.105.0j1.1.0.cqn%2Ccconf%3D1-0%2Cmin_length%3D2%2Crate_low%3D0-025%2Crate_high%3D0-025%2Csecond_pass%3Dfalse%2Cnum_suggestions%3D2%2Cignore_bad_origquery%3Dtrue..0.0...1c.8X2qC1XZcow&pbx=1&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=620f4183c90141be&biw=711&bih=453
256^(-1/4)
= 1/256^(1/4)
= 1/4
I assumed there were brackets around the -1/4
Ms Sue entered the calculation just the way you typed, and the answer is correct according to your typing.
Can you see how important it is to have proper use of brackets ?
To solve the expression 256^(-1/4), we can break it down step by step:
Step 1: Start with the exponent rule which states that x^(-a) is equal to 1/x^a.
Applying this rule to our expression, we have 256^(-1/4) = 1/256^(1/4).
Step 2: Now, let's simplify the denominator. The fourth root of 256 (256^(1/4)) is a number that, when multiplied by itself four times, equals 256. In other words, it is the fourth root of 256.
Step 3: Evaluating 256^(1/4) can be done by finding the fourth root of 256. This can be achieved by either using a calculator or simplifying it manually:
- Using a calculator: 256^(1/4) ≈ 4.
- Simplifying manually: 256 can be expressed as 4^4. Thus, 256^(1/4) = (4^4)^(1/4), which simplifies to 4.
Step 4: Plugging the value back into our original expression, we get 1/256^(1/4) = 1/4.
Therefore, the solution to 256^(-1/4) is 1/4.