Solve 15a^46b^36quadtext{(ii)}8x^-6y^9quadtext{(iii)}3/100

$$15 a ^ { 46 } b ^ { 36 } \quad \text { (ii) } 8 x ^ { - 6 } y ^ { 9 } \quad \text { (iii) } \frac { 3 } { 100 }$$

Evaluate

$$\frac{18iy^{9}b^{36}a^{46}}{5x^{6}}$$

Solution Steps

Multiply 15 and i to get 15i.

$$15ia^{46}b^{36}\times \left(8i\right)x^{-6}y^{9}ii\times \left(\frac{3}{100}i\right)$$

Multiply 15i and 8i to get -120.

$$-120a^{46}b^{36}x^{-6}y^{9}ii\times \left(\frac{3}{100}i\right)$$

Multiply -120 and i to get -120i.

$$-120ia^{46}b^{36}x^{-6}y^{9}i\times \left(\frac{3}{100}i\right)$$

Multiply -120i and i to get 120.

$$120a^{46}b^{36}x^{-6}y^{9}\times \left(\frac{3}{100}i\right)$$

Multiply 120 and \frac{3}{100}i to get \frac{18}{5}i.

$$\frac{18}{5}ia^{46}b^{36}x^{-6}y^{9}$$