The value of the expression \(0.125 \times 4^4 \times 2^{-5} \times 0.25^2 \times 8^2\) is ______.
4
Rewrite every factor as a power of 2: \(0.125 = 2^{-3},\ 4^4 = 2^8,\ 2^{-5},\ 0.25^2 = 2^{-4},\ 8^2 = 2^6\).
Adding the exponents: \(-3+8-5-4+6 = 2\).
So the expression equals \(2^2 = 4\).
Hence, the value of the expression is 4.
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Important Questions from Surds and Indices
The value of \(\frac{{{{\left( {251} \right)}^3} + {{\left( {249} \right)}^3}}}{{25.1 \times 25.1 - 624.99 + 24.9 \times 24.9}}\) is 5 × 10 k , where the value of k is :
Find the value of m in \(\left(\frac{2}{7}\right)^{-3} \times \left(\frac{2}{7}\right)^{-5}=\left (\frac{2}{7}\right)^{-3m+1}\)
If √625 = 25; then√(.00000625/25)is:
A. 0.0025
B. 0.001
C. 0.0001
D. 0.0005Find the value of:
\(\sqrt{150}-\sqrt{54}-\sqrt{24}\)
If \(\sqrt{4624}=68\) , then the value of:
\(\sqrt{46.24}+\sqrt{0.4624}+\sqrt{0.004624}\)
