Question

Simplify : {[(-1/4) 2]-2}-1​

Answer 1

Answer:

Expression ( \frac{1}{4})^{ - 2}- 3(8)^{ \frac{2}{3}}(4)^{0} +( \frac{9}{16})^{ \frac{-1}{2}}

Factor the bracket terms into power,

={4}^{2} - 3( {2}^{3} ) {}^{ \frac{2}{3} } \times 1 + ( \frac{3}{4} ) {}^{2 \times ( \frac{ - 1}{2}) }

=16 - 3 \times {2}^{2} + ( \frac{3}{4} ) {}^{ - 1}

=16 - 12 + \frac{4}{3}

=4 + \frac{4}{3}

=\frac{12 + 4}{3}

=\frac{16}{3}

Therefore, ( \frac{1}{4})^{ - 2}- 3(8)^{ \frac{2}{3}}(4)^{0} +( \frac{9}{16})^{ \frac{-1}{2}}=\frac{16}{3}

Answer 2

this is the answer of this question.