Question

4х*(2х^14)^5:(2х^10)^7,при х=90

Answer 1

$\displaystyle4x\times(2x^{14})^5\div(2x^{10})^7=4x\times\frac{(2x^{14})^2}{(2x^{14})^2}\times\\\times(2x^{14})^5\div(2x^{10})^7=4x\times\frac{(2x^{14})^7}{(2x^{14})^2}\div(2x^{10})^7=\\=4x\times\frac{(2x^{14})^7}{(2x^{14})^2\times(2x^{10})^7}=4x\times\frac{128x^{98}}{4x^{28}\times128x^{70}}=\\=4x\times\frac{x^{28}}{4x^{28}}=\frac{4x}{4} =x=90$

Answer 2

2²*х*2⁵*х¹⁴*⁵*2⁻⁷*х⁻¹⁰*⁷=2²⁺⁵⁻⁷*х¹⁺⁷⁰⁻⁷⁰=2⁰*х=х=90

Answer 3

To evaluate the given expression for x = 90, let's substitute the value of x into the expression and simplify:

4x * (2x^14)^5 / (2x^10)^7

Substituting x = 90:

4(90) * (2(90)^14)^5 / (2(90)^10)^7

Simplifying further:

360 * (2(90^14))^5 / (2(90^10))^7

Now, let's calculate the values inside the parentheses first:

90^14 = 3,874,204,891,032,727,880,704,865,377,326,850,801,344,000,000 90^10 = 348,678,440,100,000,000,000

Substituting these values back into the expression:

360 * (2(3,874,204,891,032,727,880,704,865,377,326,850,801,344,000,000))^5 / (2(348,678,440,100,000,000,000))^7

Calculating the values inside the parentheses:

2(3,874,204,891,032,727,880,704,865,377,326,850,801,344,000,000) = 7,748,409,782,065,455,761,409,730,754,652,701,602,688,000,000 2(348,678,440,100,000,000,000) = 697,356,880,200,000,000,000

Substituting these values back into the expression:

360 * (7,748,409,782,065,455,761,409,730,754,652,701,602,688,000,000)^5 / (697,356,880,200,000,000,000)^7

Now, we can calculate the exponentiation:

(7,748,409,782,065,455,761,409,730,754,652,701,602,688,000,000)^5 = 1.758573909481e+92 (697,356,880,200,000,000,000)^7 = 2.105789250273e+97

Substituting these values back into the expression:

360 * 1.758573909481e+92 / 2.105789250273e+97

Finally, let's calculate the division:

3.06354305836e+94

Therefore, when x = 90, the value of the expression 4x * (2x^14)^5 / (2x^10)^7 is approximately 3.06354305836e+94.