Datrys (5^{-1})^{-2}*(2^{4}*5^7)div(2^2*5^2)^5

$$( 5 ^ { - 1 } ) ^ { - 2 } \cdot ( 2 ^ { 4 } \cdot 5 ^ { 7 } ) \div ( 2 ^ { 2 } \cdot 5 ^ { 2 } ) ^ { 5 }$$

Enrhifo

$$\frac{1}{320}=0.003125$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch -1 a -2 i gael 2.

$$\frac{5^{2}\times 2^{4}\times 5^{7}}{\left(2^{2}\times 5^{2}\right)^{5}}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 2 a 7 i gael 9.

$$\frac{5^{9}\times 2^{4}}{\left(2^{2}\times 5^{2}\right)^{5}}$$

Cyfrifo 5 i bŵer 9 a chael 1953125.

$$\frac{1953125\times 2^{4}}{\left(2^{2}\times 5^{2}\right)^{5}}$$

Cyfrifo 2 i bŵer 4 a chael 16.

$$\frac{1953125\times 16}{\left(2^{2}\times 5^{2}\right)^{5}}$$

Lluosi 1953125 a 16 i gael 31250000.

$$\frac{31250000}{\left(2^{2}\times 5^{2}\right)^{5}}$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$\frac{31250000}{\left(4\times 5^{2}\right)^{5}}$$

Cyfrifo 5 i bŵer 2 a chael 25.

$$\frac{31250000}{\left(4\times 25\right)^{5}}$$

Lluosi 4 a 25 i gael 100.

$$\frac{31250000}{100^{5}}$$

Cyfrifo 100 i bŵer 5 a chael 10000000000.

$$\frac{31250000}{10000000000}$$

Lleihau'r ffracsiwn \frac{31250000}{10000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 31250000.

$$\frac{1}{320}$$

Ffactor

$$\frac{1}{2 ^ {6} \cdot 5} = 0.003125$$