a) \(25^3:5^2\)
b) \(\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^6\)
c) \(\dfrac{4^2.43}{210}\)
d) \(\dfrac{2^7.9^3}{6^5.8^2}\)
e) \(\dfrac{5^4.20^4}{25^5.4^5}\)
Mình cần gấp, mấy bạn cố gắng giải nhanh giúp mình nha. Thank you.^_^
\(a,25^3:5^2=\left(5^2\right)^3:5^2=5^6:5^2=5^4\)
\(b,\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^6=\)\(\left(\dfrac{3^{21}}{7^{21}}\right):\left(\dfrac{9^6}{49^6}\right)=\dfrac{3^{21}:7^{21}}{9^6:49^6}=\dfrac{3^{21}:7^{21}}{\left(3^2\right)^6:\left(7^2\right)^6}=\dfrac{3^{21}:7^{21}}{3^{12}:7^{12}}=3^9:7^9=\dfrac{3^9}{7^9}=\left(\dfrac{3}{7}\right)^9\)
\(c,\dfrac{4^2.43}{210}=\dfrac{\left(2^2\right)^2.43}{7.3.2.5}=\dfrac{2^4.43}{7.3.2.5}=\dfrac{2^3.43}{7.3.5}=\dfrac{344}{105}\)
\(d,\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{\left(2.3\right)^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}\) =\(\dfrac{2^7.3^6}{2^{11}.3^5}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
(1/2x-2/3)^2=1/4
\(\dfrac{5^5}{5^x}=5^{18}\)
\(\dfrac{x-7}{6}=\dfrac{3}{2\left(x-7\right)}\)
tìm x biết
\(^{^{5^{3x+3}< =}10^{18}}:8^6\)
lưu ý <= là nhỏ hơn hoặc bằng
\(B=-5\left(3x+2\right)^4-\left(x+2y\right)^2+111\) lớn nhất
a)\(\dfrac{x^7}{81}=27\)
b)\(\dfrac{x^8}{9}=729\)
Tìm n, biết:
a) \(\dfrac{-32}{\left(-2\right)^n}=4\)
b) \(\dfrac{8}{2^n}=2\)
c) \(\dfrac{16}{\left(-2\right)^n}=-8\)
Viết các biểu thức dưới dạng an (a thuộc Q, n thuộc N)
a) 4.25:(23.1/16)
c) 32.25.(2/3)2
d) (1/3)2.1/3.92
thank you
S= 1+3+32+33+34+...+32018. Tính A= 2S - 32018
giúp mình với!? cần gấp lắm ạ ! <3
Tìm x,y biết x,y thuộc Z
(x+2)2+2(y-3)2 <4
B1:Tính
a)(-2/3+3/7):4/5+(-1/3+4/7):4/5
b)5/9:(1/11-5/22)+5/9:(1/15-2/3)
c)4^2.4^3/4^10
d)(0,6)^5/(0,2)^6
e)2^7.9^3/6^5.8^2
g)6^3+3.6^2+3^3/-13
h)(3/7+1/2)^2
i)(3/4-5/6)^2
k)5^4.20^44/25^5.4^5
l)(-10/3)^5.(-6/5)^4
f)(1+2/3-1/4).(4/5-3/4)^2
m)2:(1/2-2/3)^3
n)9.9.(-1/3)^3+1/3
y)(4.2^5):(2^3.1/16)
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