Tính :
a)$16^{4}$ : $4^{2}$
b) [$\frac{3}{5}$]$^{15}$ :[$\frac{9}{25}$ ]$^{6}$
c) 3-[$\frac{5}{7}$]$^{0}$ + [$\frac{-1}{2}$ ]$^{2}$ :2
Tính :
a)$16^{4}$ : $4^{2}$
b) [$\frac{3}{5}$]$^{15}$ :[$\frac{9}{25}$ ]$^{6}$
c) 3-[$\frac{5}{7}$]$^{0}$ + [$\frac{-1}{2}$ ]$^{2}$ :2
Đáp án:
Tính:
a, `16^4 : 4^2`
` = (4^2)^4 : 4^2`
` = 4^8 : 4^2 = 4^6`
b, `(3/5)^15 : (9/25)^6`
`=(3/5)^15 : ((3/5)^2)^6`
`=(3/5)^15 : (3/5)^12`
`=(3/5)^3`
c, `3 – (5/7)^0 + (-1/2)^2 : 2`
`=3 – 1 + 1/4 : 2`
`=3 – 1 + 1/8`
`=2 + 1/8 = 16/8 + 1/8 = 17/8`
Giải thích các bước giải:
a) 16⁴:4²=(4²)⁴÷4²=4⁸÷4²=4⁶=4096
b)[3/5]¹⁵÷[9/25]⁶
=[3/5]¹⁵÷[(3/5)²]⁶
=[3/5]¹⁵÷[3/5]¹²
=[3/5]³
c)3-[5/7]⁰+[-1/2]²÷2
=3-1+1/4÷2
=2+1/8
=17/8
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