Solve 9^200div5=9^40

$${ 9 }^{ 200 } \div 5= { 9 }^{ 40 }$$

Verify

Solution Steps

Multiply both sides of the equation by 5.

$$9^{200}=5\times 9^{40}$$

Calculate 9 to the power of 200 and get 70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001.

$$70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001=5\times 9^{40}$$

Calculate 9 to the power of 40 and get 147808829414345923316083210206383297601.

$$70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001=5\times 147808829414345923316083210206383297601$$

Multiply 5 and 147808829414345923316083210206383297601 to get 739044147071729616580416051031916488005.

$$70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001=739044147071729616580416051031916488005$$

Compare 70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001 and 739044147071729616580416051031916488005.

$$\text{false}$$