Solve (1/4^153)8^101=

$$( \frac { 1 } { 4 ^ { 153 } } ) 8 ^ { 101 } =$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Calculate 4 to the power of 153 and get 130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064.

$$\frac{1}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064}\times 8^{101}$$

Calculate 8 to the power of 101 and get 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008.

$$\frac{1}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064}\times 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008$$

Multiply \frac{1}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064} and 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 to get \frac{16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064}.

$$\frac{16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064}$$

Reduce the fraction \frac{16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008}{130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064} to lowest terms by extracting and canceling out 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$