Solve ((-2,7)^11/2,7^7)^4

$$( \frac { ( - 2,7 ) ^ { 11 } } { 2,7 ^ { 7 } } ) ^ { 4 }$$

Evaluate

$$\frac{955004950796825236893190701774414011919935138974343129836853841}{735978458471583937562881600000000000000000000000000000000000000000000}\approx 0,000001298$$

Solution Steps

Calculate -2,7 to the power of 11 and get -55590,60566555523.

$$\left(\frac{-55590,60566555523}{2\times 7^{7}}\right)^{4}$$

Calculate 7 to the power of 7 and get 823543.

$$\left(\frac{-55590,60566555523}{2\times 823543}\right)^{4}$$

Multiply 2 and 823543 to get 1647086.

$$\left(\frac{-55590,60566555523}{1647086}\right)^{4}$$

Expand \frac{-55590,60566555523}{1647086} by multiplying both numerator and the denominator by 100000000000.

$$\left(\frac{-5559060566555523}{164708600000000000}\right)^{4}$$

Fraction \frac{-5559060566555523}{164708600000000000} can be rewritten as -\frac{5559060566555523}{164708600000000000} by extracting the negative sign.

$$\left(-\frac{5559060566555523}{164708600000000000}\right)^{4}$$

Calculate -\frac{5559060566555523}{164708600000000000} to the power of 4 and get \frac{955004950796825236893190701774414011919935138974343129836853841}{735978458471583937562881600000000000000000000000000000000000000000000}.

$$\frac{955004950796825236893190701774414011919935138974343129836853841}{735978458471583937562881600000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {132}}{2 ^ {48} \cdot 5 ^ {44} \cdot 7 ^ {28}} = 1.297599053075679 \times 10^{-6}$$