Solve (-7/18)*3/7=(-2.4)^48

$$( - \frac { 7 } { 18 } ) \times \frac { 3 } { 7 } = ( - 2.4 ) ^ { 48 }$$

Verify

Solution Steps

Multiply -\frac{7}{18} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\times 3}{18\times 7}=\left(-2.4\right)^{48}$$

Do the multiplications in the fraction \frac{-7\times 3}{18\times 7}.

$$\frac{-21}{126}=\left(-2.4\right)^{48}$$

Reduce the fraction \frac{-21}{126} to lowest terms by extracting and canceling out 21.

$$-\frac{1}{6}=\left(-2.4\right)^{48}$$

Calculate -2.4 to the power of 48 and get 1778851122450430889.808135593631174089945225899275983120948501938176.

$$-\frac{1}{6}=1778851122450430889.808135593631174089945225899275983120948501938176$$

Convert decimal number 1778851122450430889.808135593631174089945225899275983120948501938176 to fraction \frac{6471422684445973172144060640243602719948197406760239104}{10000000000}. Reduce the fraction \frac{6471422684445973172144060640243602719948197406760239104}{10000000000} to lowest terms by extracting and canceling out 1024.

$$-\frac{1}{6}=\frac{6319748715279270675921934218987893281199411530039296}{3552713678800500929355621337890625}$$

Least common multiple of 6 and 3552713678800500929355621337890625 is 21316282072803005576133728027343750. Convert -\frac{1}{6} and \frac{6319748715279270675921934218987893281199411530039296}{3552713678800500929355621337890625} to fractions with denominator 21316282072803005576133728027343750.

$$-\frac{3552713678800500929355621337890625}{21316282072803005576133728027343750}=\frac{37918492291675624055531605313927359687196469180235776}{21316282072803005576133728027343750}$$

Compare -\frac{3552713678800500929355621337890625}{21316282072803005576133728027343750} and \frac{37918492291675624055531605313927359687196469180235776}{21316282072803005576133728027343750}.

$$\text{false}$$