Home
Class 8
MATHS
Find the value of the following 6^(3)...

Find the value of the following
`6^(3)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \( 6^3 \), we will follow these steps: ### Step 1: Understand the expression The expression \( 6^3 \) means that we need to multiply the number 6 by itself three times. ### Step 2: Write the multiplication We can express \( 6^3 \) as: \[ 6^3 = 6 \times 6 \times 6 \] ### Step 3: Calculate the first multiplication First, we will multiply the first two 6s: \[ 6 \times 6 = 36 \] ### Step 4: Multiply the result by the third 6 Now, we take the result from the previous step (which is 36) and multiply it by the third 6: \[ 36 \times 6 \] ### Step 5: Perform the multiplication To calculate \( 36 \times 6 \): - Multiply 6 by 6, which is 36. - Then multiply 6 by 3, which is 18. - Add the two results together: \( 36 + 18 = 216 \). Thus, we have: \[ 36 \times 6 = 216 \] ### Final Answer Therefore, the value of \( 6^3 \) is: \[ \boxed{216} \] ---
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Test Your Concepts (Short Answer Type Questions)|29 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|33 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION LEVEL 3|7 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|60 Videos
  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL - 3)|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of the following: 3^2

Consider the following pattern: 2^(3)-1^(3)=1+2 xx 1 xx 3 3^(3)-2^(3)=1+3 xx 2 xx 3 4^(3)-3^(3)=1+4 xx 3 xx 3 Using the above pattern,find the value of the following : 7^(3)-6^(3) .

Find the values of the following. (i) 6^(3) (ii) 3^(6) (iii) If a=3 and b=4 , find b^(a)-a^(b) (iv) 3^(4)-4^(2)

Find the value of the following : ( -9 ) -6 + (-5) - 7

Find the value of the following : ( + 3 ) - ( + 4 )

If x=6 and y=5, then find the values of the following

Find the values of the following: sin^(-1)(sin((5 pi)/(6)))

Find the value of following : (25)^(3)

PEARSON IIT JEE FOUNDATION-INDICES-Test Your Concepts (Very Short Answer Type Questions)
  1. If ((x^(m)xx x^(n))/x^(p))^(q)=x^(k), then k= .

    Text Solution

    |

  2. The property be which ''(xy)^(n)=x^(n)xxy^(n)'' is known as property.

    Text Solution

    |

  3. Express the following in exponential form. (i) 625 (ii) 1024 (iii)...

    Text Solution

    |

  4. Express the following in exponential form 1024

    Text Solution

    |

  5. Express the following in exponential form 1250

    Text Solution

    |

  6. Express the following in exponential form 507

    Text Solution

    |

  7. Express the following in exponential form 360

    Text Solution

    |

  8. Express the following as pth power of qth root of x. (156)^((5)/(3))

    Text Solution

    |

  9. Express the following as pth power of qth root of x. (i) (156)^(5/3)...

    Text Solution

    |

  10. Express the following as pth power of qth root of x. (i) (156)^(5/3)...

    Text Solution

    |

  11. Express the following as pth power of qth root of x. (i) (156)^(5/3)...

    Text Solution

    |

  12. Write the following in exponential form and redical form. (i) Cube r...

    Text Solution

    |

  13. Write the following in exponential form and redical form. (i) Cube r...

    Text Solution

    |

  14. Write the following in exponential form and redical form. (i) Cube r...

    Text Solution

    |

  15. Write the following in exponential form and redical form. (i) Cube r...

    Text Solution

    |

  16. Evaluate (14^(2)-13^(2))^(5/3).

    Text Solution

    |

  17. Find the value of the following 6^(3)

    Text Solution

    |

  18. Find the value of the following 3^(6)

    Text Solution

    |

  19. Find the value of the following If a=3 and b=4, find b^(a)-a^(b)

    Text Solution

    |

  20. Find the value of the following 3^(4)-4^(2)

    Text Solution

    |