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Write the value of root(3)(7)\ xx\root(3...

Write the value of `root(3)(7)\ xx\root(3)( 49) `

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To solve the expression \( \sqrt[3]{7} \times \sqrt[3]{49} \), we can follow these steps: ### Step 1: Rewrite the expression using exponents We know that the cube root can be expressed as a fractional exponent. Thus, we can rewrite the expression as: \[ \sqrt[3]{7} = 7^{1/3} \quad \text{and} \quad \sqrt[3]{49} = 49^{1/3} \] So, the expression becomes: ...
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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. If 2^4\ xx\ 4^2=16^x , then find the value of x ?

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  2. If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?

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  3. Write the value of root(3)(7)\ xx\root(3)( 49)

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  4. Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.

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  5. Write the value of root(3)(125)\ xx\ root(3)(27)

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  6. The value of {2-3(2-3)^3}^3 is 5 (b) 125 (c) 1/5 (d) -125

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  7. (256)^(0. 16)xx(256)^(0. 09)=? 4 b. 16 c. 64 d. 256. 25

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  8. If 10^(2y)=\ 25\ , then 10^(-y) equals -1/5 (b) 1/(50) (c) 1/(62...

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  9. The value of x-y^(x-y) when x=2 and y=-2 is 18 (b) -18\ (c) 14 (...

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  10. The product of the square root of x with the cube root of x is (a) cub...

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  11. if 9^(x+2)=240+9^x , then x= 0. 5 (b) 0.2 (c) 0.4 (d) 0.1

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  12. The seventh root of x divided by the eight root of x is x (b) sqrt(...

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  13. The square root of 64 divided by the cube root of 64 is 64 (b) 2 (...

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  14. Which of the following is (are) not equal to {(5/6)^(1/5)}^(-1/6)\ ? ...

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  15. When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y ...

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  16. If 8^(x+1)=64 , what is the value of 3^(2x+1) ? 1 (b) 3 (c) 9 (d) ...

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  17. If 0ltyltx , which statement must be true? sqrt(x)-\ sqrt(y)=\ sqrt(x-...

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  18. If x is a positive real number and x^2=2, then x^3= sqrt(2) (b) 2s...

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  19. If (2^3)^2=4^x ,\ then 3^x= 3 (b) 6 (c) 9 (d) 27

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  20. If 10^x=64 , what is the value of 10^(x/2+1) ? (a) 18 (b) 42 (c) 8...

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