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(315. 4 + 5. 315):316
=[315. (4+5)]:316
=[315. 9]: 316
=[315. 32]:316
=\(\frac{3^{15}.3^2}{3^{16}}=\frac{3^2}{3}=\frac{9}{3}=3\)
1.
2^3 . 4^4 . 16^2
= 2^3 . 2^8 . 2^8
= 2^19
2.
8^6 : 2^3
= 2^18 : 2^3
= 2^15
Mấy câu kia tương tự thôi :D
1) 23.46.162=23.(22)6.(24)2=23.212.28= 223
2) 86 : 23 = (23)6 : 23 = 218 : 23 = 215
3) 273:33 =(33)3 : 33 = 39 : 33 = 36
4) 153 : 53 = (3.5)3 : 53 = 33
( 4 . 315 + 5 . 315 ) : 316
= 315.( 4 + 5) : 316
= 315.32:316
= 31=3
\(=\left[3^{15}\left(4+5\right)\right]:3^{16}=\left(3^{15}.3^2\right):3^{16}=3^{17}:3^{16}=3\)
a) 50+3x(25-16)2+150
=50+3x92+1
=50+3x81+1
=50+243+1
=294
b)22x52-35/32
=(2x5)2-35-2
=102-33
=100-27
=73
c)80-[130-(12-4)2 ]
=80-[130-82 ]
=80-[130-64]
=80-66
=14
d)100:[2x(52-35-8)]
=100:[2x9]
=100:18
=100/18
e)24:{300:[375-(150+15x5)]}
=24:{300:[375-(150+75)]}
=24:{300:[375-225]}
=24:{300:50}
=24:6
=4
Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
(315 . 4 + 5 . 315) : 316
= 315 . (4 + 5) : 316
= 315 . 9 : 316
= 315 . 32 : 316
= 317 : 316
= 3
Ai tick mik lên 40 mik tick người đó cả tuần luôn nhé