Question

simplify 1 by 4 whole power minus 2 minus 3 into 8 2 by 3 into 4.0 + 9/16 power 1 by 2

Answer 1

$\therefore (\frac{1}{4} )^{-2}-3\times \frac{82}{3} \times 4.0+(\frac{9}{16})^{\frac{1}{2} }$ = -311

Step-by-step explanation:

$(\frac{1}{4} )^{-2}-3\times \frac{82}{3} \times 4.0+(\frac{9}{16})^{\frac{1}{2} }$

If the power of a number is negative, to make the power positive we have to interchange the denominator and the numerator  of the number.

$\therefore (\frac{1}{4})^{-2} =( \frac{4}{1} )^{2}$ =16

For $3\times \frac{82}{3} \times 4.0$ we should follow the BODMAS rule.

B= brackets

O= order of power

D=Division

M= multiplication

A= addition

S=subtraction

$3\times \frac{82}{3} \times 4.0 \\=82\times 4.0$

$=328$

If the power of a number is $\frac{1}{2}$. it means square root of the number.

$\therefore (\frac{9}{16}) ^\frac{1}{2}=\sqrt {\frac{9}{16} }=\frac{3}{4}$

$\therefore (\frac{1}{4} )^{-2}-3\times \frac{82}{3} \times 4.0+(\frac{9}{16})^{\frac{1}{2} }$

$=16-328 +\frac{3}{4}$

$=\frac{64+4}{4} -328$

$=\frac{68}{4} -328$

$=\frac{68-1312}{4}$

$=\frac{-1244}{4}$

=-311

Answer 2

Step-by-step explanation:

= the answer is 5 whole 1/3

= 4 the power 2=16 -3 * 8 the power 0= 1

= 16-3*1+4/3

= 16-3* 8 the power 2/3= 4

= 16-3*4*1+4/3

= 16-40/3

= 8/3

= 2 whole 1/3

Hope it helps you

Mark me brainliest