Solve 1.4^24+3geq1/32

$$1.4 ^ { 24 + 3 } \geq \frac { 1 } { 32 }$$

Verify

Solution Steps

Add 24 and 3 to get 27.

$$1.4^{27}\geq \frac{1}{32}$$

Calculate 1.4 to the power of 27 and get 8819.763977946281130444984418304.

$$8819.763977946281130444984418304\geq \frac{1}{32}$$

Convert decimal number 8819.763977946281130444984418304 to fraction \frac{67289459060259102862892032}{10000000000}. Reduce the fraction \frac{67289459060259102862892032}{10000000000} to lowest terms by extracting and canceling out 1024.

$$\frac{65712362363534280139543}{7450580596923828125}\geq \frac{1}{32}$$

Least common multiple of 7450580596923828125 and 32 is 238418579101562500000. Convert \frac{65712362363534280139543}{7450580596923828125} and \frac{1}{32} to fractions with denominator 238418579101562500000.

$$\frac{2102795595633096964465376}{238418579101562500000}\geq \frac{7450580596923828125}{238418579101562500000}$$

Compare \frac{2102795595633096964465376}{238418579101562500000} and \frac{7450580596923828125}{238418579101562500000}.

$$\text{true}$$