12x2 (2x -3)=26
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Today fast food is very popular throughout the world. In the (17) fastfood restaurant you can get different kinds of food cheaply (18) and quickly. You can even take it home. For example, you (19) can get hot dogs or beefburgers in paper bags and boxes. Max Duffs is the name of a (20) famous fast food restaurant. Do you know that beefburgers in Mac Duffs in London tastes the (21) same as ones in Mac Duffs in Tokyo?
Trả lời:
a, \(x\div\frac{1}{3}=\left(\frac{1}{3}\right)^3\)
\(\Leftrightarrow x=\left(\frac{1}{3}\right)^3\times\left(\frac{1}{3}\right)\)
\(\Leftrightarrow x=\left(\frac{1}{3}\right)^4\)
\(\Leftrightarrow x=\frac{1}{81}\)
b, \(x\div\left(\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\Leftrightarrow x\div\left(\frac{1}{2}\right)^2=\left(\frac{1}{2}\right)^4\)
\(\Leftrightarrow x=\left(\frac{1}{2}\right)^4\times\left(\frac{1}{2}\right)^2\)
\(\Leftrightarrow x=\left(\frac{1}{2}\right)^6\)
\(\Leftrightarrow x=\frac{1}{64}\)
1) Tính :
a) \(\left(0,5\right)^3=0,125=\frac{1}{8}\)
b) \(\left(-\frac{1}{4}\right)^0=1\)
c) ...........
d) \(2^3+3.\left(\frac{1}{2}\right)^0-8=3\)
Trả lời:
a, \(\left(0,5\right)^3=0,125\)
b, \(\left(-\frac{1}{4}\right)^0=1\)
c, \(\left(\frac{3}{5}\right)^{15}:\left(\frac{9}{25}\right)^{15}=\frac{3^{15}}{5^{15}}:\frac{9^{15}}{25^{15}}=\frac{3^{15}}{5^{15}}.\frac{25^{15}}{9^{15}}=\frac{3^{15}}{5^{15}}.\frac{\left(5^2\right)^{15}}{\left(3^2\right)^{15}}=\frac{3^{15}}{5^{15}}.\frac{5^{30}}{3^{30}}=\frac{5^{15}}{3^{15}}\)
d, \(2^3+3.\left(\frac{1}{2}\right)^0-8=8+3.1-8=3\)
1) Viết các số sau dưới dạng lũy thừa
a) \(625=5^4\)
b) \(\frac{4}{9}=\left(\frac{2}{3}\right)^2\)
c) \(0,81=0,9^2\)
d) \(\frac{9}{64}=\left(\frac{3}{8}\right)^2\)
\(625=5^4\)
\(\frac{4}{9}=\left(\frac{2}{3}\right)^2\)
\(0,81=\left(0,9\right)^2\)
\(\frac{9}{64}=\left(\frac{3}{8}\right)^2\)
8) Ta có \(2.16\ge2^n>4\Rightarrow2^5\ge2^n>2^2\)
=> \(5\ge n>2\)
\(\Rightarrow n\in\left\{3;4;5\right\}\)
b) Ta có \(9.27\le3^n\le243\)
\(\Rightarrow3^5\le3^n\le3^5\)
=> n = 5
Trả lời :
7) \(\left(-1\frac{1}{4}x^2y\right)^2\left(-\frac{5}{6}xy\right)^0\left(-2\frac{1}{2}xy\right)^5\)
Đáp án là : \(-\frac{78125x^9y^7}{512}\)
8) \(\left(\frac{-8}{3}x^2z\right)^3\left(\frac{2}{3}xy^2z^2\right)^3\left(\frac{4}{5}x^3y\right)\)
Đáp án là : .....
Khi x = 9
=> x + 1 = 10
Khi đó P(9) = x50 - (x + 1)x49 + (x + 1)x48 - (x + 1)x47 + ... + (x + 1)x - 1
= x50 - x50 - x49 + x49 + x48 - x48 - x47 + ... + x2 + x - 1
= x - 1
= 9 - 1 = 8
bằng 49/24
đáp án là 49/24. Hok tốt