Question 78

In the following question, state whether the given statements are true (T) or false (F).

$(- 7)^{- 4} \times (- 7)^{2} = (- 7)^{- 2}$

Open in App

Solution

True:

$L H S = (- 7)^{- 4} \times (- 7)^{2}$

Using the law of exponents,
$a^{m} \times a^{n} = (a)^{m + n}$

$∴ (- 7)^{- 4} \times (- 7)^{2} = (- 7)^{- 4 + 2} = (- 7)^{- 2}$

LHS = RHS

Suggest Corrections

Similar questions

Question 78

In the following question, state whether the given statements are true (T) or false (F).

$(- 7)^{- 4} \times (- 7)^{2} = (- 7)^{- 2}$

Question 72

In the following question, state whether the given statements are true (T) or false (F).

$(- 4)^{- 4} \times (4)^{- 1} = (4)^{5}$

Question 79

In the following question, state whether the given statements are true (T) or false (F).

The value of $\frac{1}{4^{- 2}}$

Question 17

State whether the given statements are true (T) or false (F).

4 : 7 = 20 : 35

Question 75

In the following question, state whether the given statements are true (T) or false (F).

$(- 2)^{0} = 2$

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program