Leysa 0.01^50.1^34/0.0001^60.001^10

$$\frac{ { 0.01 }^{ 5 } { 0.1 }^{ 34 } }{ { 0.0001 }^{ 6 } { 0.001 }^{ 10 } }$$

Meta

$$10000000000$$

Lausnarskref

Reiknaðu 0.01 í 5. veldi og fáðu 0.0000000001.

$$\frac{0.0000000001\times 0.1^{34}}{0.0001^{6}\times 0.001^{10}}$$

Reiknaðu 0.1 í 34. veldi og fáðu 0.0000000000000000000000000000000001.

$$\frac{0.0000000001\times 0.0000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Margfaldaðu 0.0000000001 og 0.0000000000000000000000000000000001 til að fá út 0.00000000000000000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Reiknaðu 0.0001 í 6. veldi og fáðu 0.000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

Reiknaðu 0.001 í 10. veldi og fáðu 0.000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

Margfaldaðu 0.000000000000000000000001 og 0.000000000000000000000000000001 til að fá út 0.000000000000000000000000000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

Leystu upp \frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} með því að margfalda bæði teljara og nefnara með 1000000000000000000000000000000000000000000000000000000. Ef tölu er deilt með einum er niðurstaðan alltaf óbreytt tala.

$$10000000000$$

Stuðull

$$2^{10}\times 5^{10}$$