A= (9¹⁰.5¹⁰​.5¹⁰​)/(25¹⁰​.3^​10)=(3^​20​.5²⁰​)/(5^​20.3^​10)=3^​10

​B=(0,8)^​5/(0,4)⁶= (2.0,4)⁵​/0,4.0,4⁵ ​= 2⁵.0,4⁵/0,4.0,4⁵ = 2^​5​/0,4 = 80

​C= 2¹⁵.9⁴​/6^​6.8³= 2_​^​15​.3⁸​/3⁶.2⁶.2⁹=2^​15.3⁸/3⁶.2^​15=3²=9

bo deo quantam

tìm giá trị của biểu thức sau

a) 45 mũ 10 . 5 mũ 20 / 75 mũ 15

b) (0,8) mũ 5 / (0,4) mũ 6

c) 2 mũ 15 . 9 mũ 4 / 6 mũ 6 . 8 mũ 3

bài làm là:

a) 45^10.5^20/75 ^ 15

=(5.9)^10.5^20/(5.15)^15

=5^10.9^10.5^20/5^15.15^15

=5^30.3^20/5^15.3^15.5^15

=5^30.3^20/5^30.3^15

=5^30.3^20/5^30.3^15

=3^5

=243

mấy ý kia mình chia tính được ....A,hihi

(45¹⁰ x 5²⁰ ) / 75¹⁵=243

(0.8)⁵ / (0.4)⁶=0

2¹⁵ x 9⁴ / 6⁶ x 8³=9

cách làm

\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}=\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4.2\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=\frac{32}{\frac{2}{5}}=32.\frac{5}{2}=80\)

\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)

Bài làm

\(A=\frac{45^{10}\cdot5^{20}}{75^{15}}\)

\(A=\frac{\left(3^2\right)^{10}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot\left(5^2\right)^{15}}\)

\(A=\frac{3^{20}\cdot5^{30}}{3^{15}\cdot5^{30}}\)

\(A=3^5\)

Vậy \(A=3^5\)

\(B=\frac{2^{15}\cdot5^{20}}{6^6\cdot8^3}\)

\(B=\frac{2^{15}\cdot5^{20}}{2^6\cdot3^3\cdot\left(2^3\right)^3}\)

\(B=\frac{2^{15}\cdot5^{20}}{2^{15}\cdot3^3}\)

\(B=\frac{5^{20}}{3^3}\)

Vậy \(B=\frac{5^{20}}{3^3}\)

=\(\left[\dfrac{\left(0,4.2\right)^5}{\left(0,4\right)^6}+\dfrac{2^9.2^6.3^8}{\left(3.2\right)^6.2^9}\right]=\left[\dfrac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}+\dfrac{2^6.3^8}{3^6.2^6}\right]\)

=\(\left[\dfrac{2^5}{0,4}+3^2\right]\)

=\(\left[80+9\right]=89\)

\(\left[\dfrac{\left(2.0,4\right)^5}{0,4,0,4^5}+\dfrac{2^{15}.3^8}{3^6.2^6.2^9}\right]\div\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}\)

\(=\left[\dfrac{2^5.0.4^5}{0,4.0,4^5}+\dfrac{2^{15}.3^8}{3^6.2^{15}}\right]\div3^5\)

\(=\left[\dfrac{2^5}{0,4}+3^2\right]\div243\)

\(=80+\left(3^5\div3^2\right)\)

\(=80+3^3\)

\(=80+27\)

\(=107\)

thu gọn 7^3*7^5

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