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(34.57-92.21):35
=(81.57-81.21):243
=[81.(57-21)]:243
=(81.36):243
=2916:243
=12
\(\left(3^4.57-9^2.21\right):3^5\)
\(=\left(81.57-81.21\right):243\)
\(=\left(81\left(57-21\right)\right):243\)
\(=\left(81.36\right):243\)
\(=2916:243\)
\(=12\)
a. \(\left(2^9.16+2^9.34\right):2^{16}\)
\(=2^9\left(17+34\right):2^{16}\)
\(=50:2^7\)
=\(\dfrac{50}{128}=\dfrac{25}{64}=\left(\dfrac{5}{8}\right)^2\)
b. \(\left(3^4.57-9^2.21\right):3^5\)
\(=\left(3^4.3.19-3^4.3.7\right):3^5\)
\(=\left(3^5.19-3^5.7\right):3^5\)
\(=3^5.\left(19-7\right):3^5\)
=12
a)25.4:32=25.22:25=25+2-5=22=4
b)3.27:34=3.33:34=34:34=1
c)(29.16+29.32):210
=29.(16+32):210
=48:210-9
=48:2
=24
d)Bạn chữa lại dề nha
(34.57-92.21):35
=(34.57-34.22):35
=34.(57-22):35
=34.35:35
=34
=81
\(\left(3^4\cdot57-9^2\cdot21\right):3^5\)
\(=\)\(\left(3^4\cdot57-\left(3^2\right)^2\cdot21\right):3^5\)
\(=\)\(\left(3^4\cdot57-3^4\cdot21\right):3^5\)
\(=\)\(\left(3^4\cdot\left(57-21\right)\right):3^5\)
\(=\)\(\left(81\cdot36\right):243\)
\(=\)\(2916:243\)
\(=\)\(12\)
Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
(34 . 57 - 92 . 21): 35
= (34 . 57- 34 .21): 35
= 34 . (57 - 21) : 35
= 2916 : 35
= 12