Leysa (0.01)^5(0.1)^39/(0.0001)^6(0.001)^10

$$\frac { ( 0.01 ) ^ { 5 } ( 0.1 ) ^ { 39 } } { ( 0.0001 ) ^ { 6 } ( 0.001 ) ^ { 10 } }$$

Meta

$$100000$$

Lausnarskref

Reiknaðu 0.01 í 5. veldi og fáðu 0.0000000001.

$$\frac{0.0000000001\times 0.1^{39}}{0.0001^{6}\times 0.001^{10}}$$

Reiknaðu 0.1 í 39. veldi og fáðu 0.000000000000000000000000000000000000001.

$$\frac{0.0000000001\times 0.000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Margfaldaðu 0.0000000001 og 0.000000000000000000000000000000000000001 til að fá út 0.0000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Reiknaðu 0.0001 í 6. veldi og fáðu 0.000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

Reiknaðu 0.001 í 10. veldi og fáðu 0.000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

Margfaldaðu 0.000000000000000000000001 og 0.000000000000000000000000000001 til að fá út 0.000000000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

Leystu upp \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} með því að margfalda bæði teljara og nefnara með 1000000000000000000000000000000000000000000000000000000. Ef tölu er deilt með einum er niðurstaðan alltaf óbreytt tala.

$$100000$$

Stuðull

$$2^{5}\times 5^{5}$$