If 21168 = x4 × y3 × z2, find the values of x, y, z.

Question

KnowledgeBoat · Accepted Answer

Given, 21168 = x4 × y3 × z2 Factorizing 21168, we get : ⇒ 21168 = 24 × 33 × 72 ⇒ 24 × 33 × 72 = x4 × y3 × z2 ⇒ x = 2, y = 3, z = 7 Hence, x = 2, y = 3, z = 7.

Mathematics

If 21168 = x⁴ × y³ × z², find the values of x, y, z.

Indices

Answer

Related Questions

If a, b, c are positive real numbers, show that:
$\sqrt{a^{-1}b} \times \sqrt{b^{-1}c} \times \sqrt{c^{-1}a} = 1$

If $\dfrac{9^n \times 3^2 \times 3^n - (27)^n}{3^{3m} \times 2^3} = 3^{-3}$ , prove that (m - n) = 1.

If 1960 = 2^a × 5^b × 7^c, find the values of a, b, c. Hence, calculate the value of 2^-a × 5^-c × 7^b

Solve for x:
$3^x = \dfrac{1}{3}$

Mathematics

If 21168 = x4 × y3 × z2, find the values of x, y, z.

Indices

Answer

Related Questions

If a, b, c are positive real numbers, show that:a−1b×b−1c×c−1a=1\sqrt{a^{-1}b} \times \sqrt{b^{-1}c} \times \sqrt{c^{-1}a} = 1a−1b​×b−1c​×c−1a​=1

If 9n×32×3n−(27)n33m×23=3−3\dfrac{9^n \times 3^2 \times 3^n - (27)^n}{3^{3m} \times 2^3} = 3^{-3}33m×239n×32×3n−(27)n​=3−3, prove that (m - n) = 1.

If 1960 = 2a × 5b × 7c, find the values of a, b, c. Hence, calculate the value of 2-a × 5-c × 7b

Solve for x:3x=133^x = \dfrac{1}{3}3x=31​

If 21168 = x⁴ × y³ × z², find the values of x, y, z.

If a, b, c are positive real numbers, show that:
$\sqrt{a^{-1}b} \times \sqrt{b^{-1}c} \times \sqrt{c^{-1}a} = 1$

If $\dfrac{9^n \times 3^2 \times 3^n - (27)^n}{3^{3m} \times 2^3} = 3^{-3}$ , prove that (m - n) = 1.

If 1960 = 2^a × 5^b × 7^c, find the values of a, b, c. Hence, calculate the value of 2^-a × 5^-c × 7^b

Solve for x:
$3^x = \dfrac{1}{3}$